# Questions tagged [control-systems]

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### Routh's stability criterion: zeros of the auxiliary polynomial and of its derivative

When using RH criterion and using the auxiliary equation special case, which of the following is true? The auxiliary equation $A(s)=0$ gives some(or all) of the symmetrical poles. The differentiated ...
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### How to move a linear block before an Integrator block?

I have the following discrete time blocks which acts as a decimation filter. My objective is to linearize the piecewise linear outputs using $O$ and $G$; the purpose of these two variables is ...
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### system identification: MATLAB tfestimate gives different results for different Fs

So I have an experimental data; A is a chirp signal (sweep sine wave) and B is the response of the system. I identify the system as follows in MATLAB: ...
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### What are simple direct adaptive control algorithms?

I am going into this blind. Was wondering if someone can point out some resource on direct adaptive control algorithms?
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### How to compare the similarity of 2 transfer functions

I'm working on a power systems where I have 2 linearized transfer functions. The first transfer function corresponds to the no-load case and the second transfer function corresponds to the full-load ...
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### Analog to digital controller- What sampling rate?

I'm studying about the design of controller in digital control systems. Right now I see the method in which I design my controller in the s domain and then convert it to the z domain. However, in ...
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### Designing observer with non-observable system

I have this state-space system \begin{align} \dot{x}&=\begin{bmatrix}1 & 0\\3 & -2\end{bmatrix}x+\begin{bmatrix}10\\0 \end{bmatrix}u\\ y&=\begin{bmatrix}1 & 0\end{bmatrix}x \end{...
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### Comparing the control performance of a given closed loop system

I am having a question about comparing the control performance of a given closed loop. In this link there are some characteristic values that need to be calculated, but there is no description of what ...
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I need to control crane trolley (pendulum), I have state space representation as: $A=\begin{bmatrix} 0 & 1 & 0 & 0 \\ 0 & 0 & \frac{m_b}{m_j}g & 0 \\ 0 & 0 & 0 &... 0answers 96 views ### phase locked loop I have seen that to get the phase angle of a signal, we have to use PLLs. this PLL is modeling in order to get the phase angle about one frequency, which is the free running frequency of the VCO. If ... 0answers 274 views ### Troubleshooting PID controller I'm developing a PID controller to control the position of a laser beam. The position is measured using a Position Sensitive Device (PSD). I modeled the plant according to the manufacturer specs and I'... 0answers 554 views ### What is pulse train filter? I have recently seen some code written in modelling tool like Simulink, ASCET which uses PT1 filter? Why do we use a pulse train filter? What is the difference between FIR, IIR, Chebyschev, ... 0answers 127 views ### PID Control - process variable / setpoint I'm trying to design a PID controller but I have a problem in the following case: The process variable can only be between 0 and 1. The setpoint can be close to one, for instance 0.97. Hence the ... 0answers 26 views ### System indentification different inputs I have peformed different form for input/output relation to determine a system, but seem to be missing some theory which input will be the most will excite enough modes such that the models which i ... 0answers 70 views ### Perfect system identification or am i doing something wrong? I am using MATLAB to identify a system. The problem with my method is that my result is perfect. I get a nearly 100% fit, which make me wonder if what I am doing is correct. I feed a sine sweep with ... 0answers 28 views ### Stability of an unstable system using nonlinear element. Is it possible or not? Say there is a system with open-loop transfer function G(s)=1/(s−1) . The system is definitely unstable. If I put any nonlinear system in cascade with G(s) and from the output, a negative unity ... 0answers 50 views ### construct 2-state observer I have position$\theta(s) = \frac{s^2+1}{s^4+2s^3+3s^2+4s+5}$and velocity$\dot\theta(s) = \frac{s(s^2+1)}{s^4+2s^3+3s^2+4s+5}$. How do I construct 2-state-observer with sampling time$T_s$?$\...
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I am trying to identify a system based on input/output response and thereby estimate a transfer function. I generated a frequency sweep function in Mathematica which gives me the discrete values of a ...
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### What means ideal integrator in this MIMO system state diagram?

Can someone explain me what ideal integrator is as simple as possible? Which meaning it has in this diagram? $A,B,C$ and $D$ are matrices. $u$ is input and $y$ is output.
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### Step response of feedback system

We have a feedback system F(s) as in this figure: and this is the step response of G(s): and H=10. F(s): We got the root locus of the system F(s) as this: then we determined the gain at ...
Let's talk about a standard saturation model: with bounds $bound_{lower}$ and $bound_{upper}$. So in this example the output $y$ will be: \begin{equation} y(u) = \begin{cases} bound_{lower} ...