This tag is for questions relating to Adaptive control. The adaptive controller is to be designed so that the plant output follows the model output as closely as possible. It is the capability of the system to modify its own operation to achieve the best possible mode of operation. The area of adaptive systems has been one of the most active in identification and control theory of the past decade.

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### Control a non-affine system

I have a question about the control of a non-affine system. Here is my system $\dot{x} = a(u) + b(u) . u$ \label{a_beta} a(u) = 0.22 \left( \frac{116(u^3 + 1)-4.06 \lambda }{(\lambda +...
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### Model Reference Adaptive Control for Linear Algebraic Plants

This is a homework problem from my adaptive control course: Given the plant $y_p = a_pu(t)$ ($a_p\neq 0$) and the reference model $y_m = a_mr(t)$, where $r(t)$ is bounded and continuous. Design a ...
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### How to design/add a new controller to a system without breaking the existing controller in the system? [closed]

Please help me to find related topics/books for this problem: For example, assume we have a water heater, and a tank of water. We can design a controller to heat the water in the tank and keep it in ...
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### Derivation of solution for simple control problem

While trying to understand the fundamental concepts in control theory reading the following article Dual Control for Approximate Bayesian Reinforcement Learning (chapter 3.1, "A toy problem")...
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### Issue with definition of adaptive control and its classification

I have a question about the definition of adaptive control, since I´m researching about making a model-free adaptive control system. I will appreciate your help. The definition I found says that an ...
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### Which way of solving from nonlinear control to choose?

I have a nonlinear system: \begin{cases} x'=f(x)+u \\ y=f(x) \end{cases} where $f(x)$ - gradient of some one-extremal function (for example $f=e^{-(x)^2}$), i.e. $\frac{df}{dx}$. Task: I want ...
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### Changing the quality of the transient process in a nonlinear system (Part II)

My question is a continuation of the topic. Changing the quality of the transient process in a nonlinear system (in Mathematica) Unfortunately, last time I didn’t get any help, so I decided to ...
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1 vote
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### How to estimate a delay?

Assume that we are using recursive least squares to estimate a transfer function $$A(q)y(t) = B(q)u(t)$$ But the input $u(t)$ is delayed with $d$ time, eg: $$A(q)y(t) = B(q)u(t-d)$$ How can I find ...
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### How can I estimate $A(q)y(t) = B(q)u(t) + C(q)e(t)$?

How can I estimate the model $$A(q)y(t) = B(q)u(t) + C(q)e(t)$$ Where $e(t)$ is the noise and $u(t)$ is input and $y(t)$ is output of the model? I don't know how to find the $e(t)$ noise. Notice ...
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### Adaptive feedforward cancellation (AFC) and least mean squares (LMS) for periodic disturbance cancellation

I want to implement an adaptive feedforward cancellation (AFC) for cancellation of the impact of periodic input disturbances on the output of a multiple-input single-output system. Filter weights are ...
1 vote
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### Can pattern recognition be used in control engineering? - Neural networks

Assume that we have data who looks like this from a dynamical system $G(s)$ e.g mass-spring-damper system. Where the output is the position of the mass and input is the applied force onto the mass. ...
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### Nonlinear geometric control for beginners

Please advise literature or articles on nonlinear geometric control (for beginners). Preferably with computational examples. I want to study this topic, but I do not know where to start. Remark: ...
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### What adaptive controller can be used in embedded system with low RAM?

This is not a question for data science, hardware or programming languages. This is a more practical question about adaptive control for embedded systems, but still a math question. I have tried to ...
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### What's the difference between Generalized Predictive Control and Model Predictive Control?

As I know, the Generalized Predictive Control(GPC) is older than Model Predictive Control(MPC). But what is the real difference between them? I know that GPC contains some kind of system ...
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### How do I place the poles and zeros form a disired system? Adaptive control

If I have a transfer function of a system $G(s)$ $$G(s) = \frac{4 - 2s}{4 + 0.8s + s^2}$$ $G(s)$ has the poles and zeros and is a stable system. And the step answer look like. It has a delay as you ...
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1 vote
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### How can I estimate a discrete transfer function? Recursive Least Square

This is going to be a large fun question about practical estimation for real world problems. Assume that we have a poor damped system described with this transfer function. G(s) = \frac{4.5}{1 + 0....
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### MIT rule VS Lyapunov design - Adaptive Control

I wonder what's the difference between MIT rule and Lyapunov design when it comes to adaptive control law? As I get it, MIT rule is more like "transfer function"-based control system and Lyapunov ...
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### Adaptive Control + Robust Control - Does it work?

I have a qurius question! Is it possible to design a robust controller for a system by using algoritms and system identification, which are adaptive control + robust control? I know there is a lot of ...
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