# Questions tagged [control-systems]

Questions on the use of Mathematica to analyze, design, and simulate continuous- and discrete-time control systems.

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### Can we use Mathematica for electronics design?

A spoiler alert: I intend to answer my own question. I am posting this because I would like to share my excitement regarding the control theory tools in Mathematica, and also to promote further ...
2k views

### Numerical optimal control

I was hoping to tackle optimal control using Mathematica in order to learn how I can use Mathematica's built in numerical integration and optimization functions together in order to solve an optimal ...
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### Can we use Mathematica to design an electronic active filter?

How can we use Mathematica to design an electronic implementation of an active filter?
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### Simulating discrete time stochastic dynamic systems

What is the canonical way of simulating discrete time stochastic dynamical systems in Mathematica using the new functionality of Random processes? To take a concrete example, lets consider the ...
485 views

### 1D transient heat equation problem with controller

I would appreciate some help with following issue: I am trying to solve a 1D transient heat equation problem with a control loop in order to compensate a time variable boundary condition at one ...
2k views

### How to calculate the $H_2$ and $H_\infty$ norms of TransferFunctionModels or StateSpaceModels?

Lets assume we have a system model: ...
890 views

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### Using the LQGRegulator to build a human operator model

I'm trying to build a human operator model using an optimal control model in Mathematica: The vehicle dynamics are given by ...
1k views

### Estimate parameters of the state space model

I'm using Mathematica 9 and its Control Systems functionality. I've searched the references extensively but seem not to be able to find any examples of state space model parameters estimation. All ...
332 views

### Connecting Inputs and Outputs of Transfer Function Models

I am trying to use Mathematica's TransferFunctionModel object and SystemsModelFeedbackConnect function to approach the following ...
6k views

### DC gain of a transfer function

Consider this example. M = TransferFunctionModel[3/(s^2 - s + 5), s] the DC gain should be the value of the transfer function ...
123 views

### What does BodePlot actually calculate?

I'm using Mathematica v12.3 student edition, running on Windows 10 Home (AMD Ryzen 5 4500U with Radeon Graphics 2.38 GHz). I'm trying to get a Bode plot of an example function. I try to do it with the ...
358 views

### Problem with optimal control and Pontryagin's maximum principle

For dynamic system: $\dot{x}=\frac{df}{dx}+u$ where $f=e^{-x^2}$ It is necessary to develop optimal control, minimizing criterion: $J= \int_{0}^{t_f} ((\frac{df}{dx})^2+u^2) \,dt$ Algorithm: We ...
382 views