{"id":17375,"date":"2025-02-25T09:22:09","date_gmt":"2025-02-25T14:22:09","guid":{"rendered":"https:\/\/blogs.mathworks.com\/simulink\/?p=17375"},"modified":"2025-02-25T09:22:09","modified_gmt":"2025-02-25T14:22:09","slug":"the-basics-of-a-control-loop-in-simulink","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/simulink\/2025\/02\/25\/the-basics-of-a-control-loop-in-simulink\/","title":{"rendered":"The Basics of a Control Loop in Simulink"},"content":{"rendered":"<div class = rtcContent><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><a href = \"https:\/\/matlab.mathworks.com\/open\/github\/v1?repo=simulink\/blog&amp;project=2024_02_21_ControlLoop\/ControlLoop.prj\"><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_1.png\" width = \"136\" height = \"21\" alt = \"\" style = \"vertical-align: baseline; width: 136px; height: 21px;\"><\/img><\/a><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>This week I received a series of interesting questions on the basics of putting together a simulation of a control loop involving a Simscape continuous plant and a discrete controller. The questions are summarized in this image:<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_2.png\" width = \"1095\" height = \"412\" alt = \"\" style = \"vertical-align: baseline; width: 1095px; height: 412px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here are my answers to those questions.<\/span><\/div><h2  style = 'margin: 3px 10px 5px 4px; padding: 0px; line-height: 25px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Discrete Controller<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>I recommend implementing the controller in a separate model file and bringing it in the simulation using the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/simulink\/slref\/model.html\"><span>model block<\/span><\/a><span>. The main reason is that you will likely want to generate code using <\/span><a href = \"https:\/\/www.mathworks.com\/products\/simulink-coder.html\"><span>Simulink Coder<\/span><\/a><span> or <\/span><a href = \"https:\/\/www.mathworks.com\/products\/embedded-coder.html\"><span>Embedded Coder<\/span><\/a><span> for the controller at some point. With <\/span><a href = \"https:\/\/www.mathworks.com\/help\/simulink\/model-reference.html\"><span>model reference<\/span><\/a><span>, the controller is a standalone atomic unit and you can define a strong interface to it. This ensures that the controller behaves identically as part of the closed-loop simulation and when you will generate code for it.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_3.png\" width = \"187\" height = \"118\" alt = \"\" style = \"vertical-align: baseline; width: 187px; height: 118px;\"><\/img><\/div><h2  style = 'margin: 3px 10px 5px 4px; padding: 0px; line-height: 25px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Continuous Plant<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here, I would say: <\/span><span style=' font-style: italic;'>It depends...<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>One important aspect to consider is algebraic loops. In this kind of closed-loop simulations, it's typically the plant that breaks potential algebraic loops. If the plant is an atomic unit, there are more chances to run into <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024b\/simulink\/ug\/algebraic-loops.html#buqn11q\"><span>artificial algebraic loops<\/span><\/a><span>.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here is how I typically decide:<\/span><\/div><ul  style = 'margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-size: 14px; '><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span style=' font-weight: bold;'>Subsystem Reference:<\/span><span> This is usually my first choice. It's the simplest way to save the content of a subsystem to a separate file and avoid merge conflicts. Leaving the subsystem NOT atomic will ensure that no <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024b\/simulink\/ug\/algebraic-loops.html#buqn11q\"><span>artificial algebraic loops<\/span><\/a><span> get introduced. <\/span><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span style=' font-weight: bold;'>Model Reference:<\/span><span> I consider using model referencing if the time it takes to initialize the simulation is a concern. If the plant becomes complex and you are not actively modifying it, I recommend setting the model block in Accelerator mode. That way, the referenced model will be accelerated once and the artifacts stored in a <\/span><a href = \"https:\/\/www.mathworks.com\/help\/simulink\/ug\/reuse-simulation-builds-for-faster-simulations.html\"><span>cache file<\/span><\/a><span> (If you have a CI system, you can even get the cache files built automatically overnight). That way, subsequent simulations will initialize almost instantly. If making the plant a referenced model introduces an artificial algebraic loop, try enabling the setting <\/span><a href = \"https:\/\/www.mathworks.com\/help\/simulink\/gui\/minimizealgebraicloopoccurrences.html\"><span>Minimize artificial algebraic loop occurrences<\/span><\/a><span>. With this option enabled, Simulink will do extra work to try avoiding artificial algebraic loops. If you need the performance gain of model reference but cannot avoid artificial algebraic loops, you will need to introduce delays somewhere in the loop.<\/span><\/li><\/ul><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_4.png\" width = \"655\" height = \"131\" alt = \"\" style = \"vertical-align: baseline; width: 655px; height: 131px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>If the time spent during model initialization is a big deal for you, I recommend visiting those blog posts focused on this topic:<\/span><\/div><ul  style = 'margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-size: 14px; '><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><a href = \"https:\/\/blogs.mathworks.com\/simulink\/2015\/06\/12\/speeding-up-initialization-for-accelerator-mode\/\"><span style=' text-decoration: underline;'>Speeding up Initialization for Accelerator Mode<\/span><\/a><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><a href = \"https:\/\/blogs.mathworks.com\/simulink\/2023\/10\/18\/accelerator-cache-and-rebuilds-everything-you-need-to-know\/\"><span style=' text-decoration: underline;'>Accelerator Cache and Rebuilds \u2013 Everything you need to know<\/span><\/a><\/li><\/ul><h2  style = 'margin: 3px 10px 5px 4px; padding: 0px; line-height: 25px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Continuous to Discrete Conversion<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Use Rate Transition blocks. Most likely, since the rate transition is from fast to slow, the Rate Transition will behave exactly like the Zero-Order Hold block. I recommend looking at the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/simulink\/slref\/ratetransition.html\"><span>Rate Transition documentation<\/span><\/a><span> to see the various options it offers.<\/span><\/div><h2  style = 'margin: 3px 10px 5px 4px; padding: 0px; line-height: 25px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Discrete to Continuous Conversion<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here we have another case of <\/span><span style=' font-style: italic;'>it depends...<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The main question you should ask yourself is: Does the quantization effect caused by the discrete rate impacts the plant results significantly?<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><a href = \"https:\/\/www.mathworks.com\/help\/simulink\/slref\/firstorderhold.html\"><span style=' font-weight: bold;'>First Order Hold<\/span><\/a><span style=' font-weight: bold;'>:<\/span><span> Your best choice for performance. This block interpolates the input signal to generate a continuous output. This helps avoiding solver resets, which are known to slow down simulations. Here is a blog post where I explain the advantages of the First Order Hold block: <\/span><a href = \"https:\/\/blogs.mathworks.com\/simulink\/2020\/01\/17\/a-new-first-order-hold\/?s_tid=srchtitle_site_search_1_Guy_first_order_hold\"><span style=' font-weight: bold;'>A New First Order Hold!<\/span><\/a><span>. Another great advantage of the First Order Hold block: It can help breaking algebraic loops!<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span style=' font-weight: bold;'>Rate Transition:<\/span><span> Use this block if the interpolation introduced by the First Order Hold block impacts the results too significantly. <\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here is a simple example. <\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 4px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >open_system(<\/span><span style=\"color: #a709f5;\">'testRamp'<\/span><span >)<\/span><\/span><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Let's simulate this  model with two different discrete rates and compare the results of the Rate Transition and the First Order Hold block.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_5.png\" width = \"837\" height = \"243\" alt = \"\" style = \"vertical-align: baseline; width: 837px; height: 243px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>To simulate the model, I decided to use the new <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024b\/simulink\/slref\/simulink.multisim.designstudy.html\"><span>Design Study<\/span><\/a><span> feature released in R2024a:<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span style=\"color: #008013;\">% Create two variables<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >sampleTimeVar = simulink.multisim.Variable(<\/span><span style=\"color: #a709f5;\">\"sampleTime\"<\/span><span >, [1e-4 1]);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >d2cVar = simulink.multisim.Variable(<\/span><span style=\"color: #a709f5;\">\"d2c\"<\/span><span >,  [1 2]);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span style=\"color: #008013;\">% Create an exhaustive combination<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >exhaustive = simulink.multisim.Exhaustive([sampleTimeVar,  d2cVar]);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span style=\"color: #008013;\">% Make it a study for my model<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >designStudy = simulink.multisim.DesignStudy(<\/span><span style=\"color: #a709f5;\">\"testRamp\"<\/span><span >, exhaustive);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >out = sim(designStudy,<\/span><span style=\"color: #a709f5;\">'ShowProgress'<\/span><span >,<\/span><span style=\"color: #a709f5;\">'off'<\/span><span >);<\/span><\/span><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Looking at the results, we can see that for the sample time of 1 second, the First Order Hold interpolation changes the results significantly while the impact for the sample time of 1e-4 second is negligible.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >figure;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >subplot(2,1,1)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >plot(out(1).yout{1}.Values)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >hold <\/span><span style=\"color: #a709f5;\">on<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >plot(out(2).yout{1}.Values)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >legend({<\/span><span style=\"color: #a709f5;\">'Ts = 1 sec - Rate Transition'<\/span><span >,<\/span><span style=\"color: #a709f5;\">'Ts = 1 sec - First Order Hold'<\/span><span >});<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >subplot(2,1,2)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >plot(out(3).yout{1}.Values)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >hold <\/span><span style=\"color: #a709f5;\">on<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >plot(out(4).yout{1}.Values)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >legend({<\/span><span style=\"color: #a709f5;\">'Ts = 0.0001 sec - Rate Transition'<\/span><span >,<\/span><span style=\"color: #a709f5;\">'Ts = 0.0001 sec - First Order Hold'<\/span><span >});<\/span><\/span><\/div><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(220, 220, 220) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper disableDefaultGestureHandling embeddedOutputsFigure\" uid=\"5FF96ACA\" prevent-scroll=\"true\" data-testid=\"output_0\" tabindex=\"-1\" ><div class=\"figureElement eoOutputContent\" role=\"article\" aria-roledescription=\"Use Browse Mode to explore \" aria-description=\"figure output \"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_6.png\" style=\"width: 560px;\"><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer navigationFocusLayer doNotExport\" aria-hidden=\"false\" tabindex=\"-1\" role=\"application\" aria-label=\"figure output \"><\/div><\/div><\/div><\/div><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 25px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Simulink - PS Converter Filtering<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024b\/simscape\/ref\/simulinkpsconverter.html\"><span>Simulink-PS Converter<\/span><\/a><span> block has an option to filter the incoming signal.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_7.png\" width = \"565\" height = \"339\" alt = \"\" style = \"vertical-align: baseline; width: 565px; height: 339px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>There are two reasons for this option:<\/span><\/div><ol  style = 'margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-size: 14px; '><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span>Most Simscape blocks work better when the input signal, and its first and second derivatives, are continuous.<\/span><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span>Some Simscape blocks need the derivative of the input signals to compute their results.<\/span><\/li><\/ol><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Filtering the input and computing the derivative of this filtered input is a simple way to ensure that those two requirements are met.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Based on that, my recommendation is to enable filtering if you get an error about missing derivatives, or if the signals you are feeding to Simscape have significant discontinuities. When enabling filtering, pick a time constant that is small enough to not impact the system dynamics significantly, but not too small to force Simulink solver to take very small steps and impact performance.<\/span><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 25px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Final Model<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here is a model implementing all of the above<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 4px; padding: 6px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace, Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >open_system(<\/span><span style=\"color: #a709f5;\">'exampleLoopSimscape'<\/span><span >);<\/span><\/span><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The four black corners of the Discrete Controller indicate that this is a referenced model in accelerator mode. The two white corners on the Continuous Plant indicate that it is a Subsystem Reference.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_8.png\" width = \"873\" height = \"287\" alt = \"\" style = \"vertical-align: baseline; width: 873px; height: 287px;\"><\/img><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 25px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Now it's your Turn<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>What are your best practices when putting together closed loop simulations? Let us know in the comments below.<\/span><\/div>\n<br>\n<\/div><script type=\"text\/javascript\">\n{ let css = '.eoOutputWrapper { width: calc(90vw - 10px) !important; }';\nlet head = document.head || document.getElementsByTagName('head')[0];\nlet style = document.createElement('style');\nhead.appendChild(style);\nstyle.type = 'text\/css';\nif (style.styleSheet) {\n    style.styleSheet.cssText = css;\n} else {\n    style.appendChild(document.createTextNode(css));\n}\n\n\n}<\/script>","protected":false},"excerpt":{"rendered":"<div class=\"overview-image\"><img src=\"https:\/\/blogs.mathworks.com\/simulink\/files\/SimulinkControlLoop.mlx-02-25-25_8.png\" class=\"img-responsive attachment-post-thumbnail size-post-thumbnail wp-post-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" \/><\/div><p>This week I received a series of interesting questions on the basics of putting together a simulation of a control loop involving a Simscape continuous plant and a discrete controller. The questions... <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/simulink\/2025\/02\/25\/the-basics-of-a-control-loop-in-simulink\/\">read more >><\/a><\/p>","protected":false},"author":41,"featured_media":17402,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[10,33],"tags":[247],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts\/17375"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/users\/41"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/comments?post=17375"}],"version-history":[{"count":2,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts\/17375\/revisions"}],"predecessor-version":[{"id":17408,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts\/17375\/revisions\/17408"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/media\/17402"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/media?parent=17375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/categories?post=17375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/tags?post=17375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}