# Tag Info

Accepted

### Which equations of a state space model influence the poles and zeroes?

Half of your statement is correct: If we are considering the following system: G : \begin{aligned} \dot{x} &= Ax+Bu \\ y &= Cx \end{aligned} then $A$, $B$, and $C$ all influence the zeros ...
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### Square wave transfer function?

I thought I would expand a little on the answer offered by Karlo. Long story short, I would not try to calculate the analytical time response of a system to a square wave. That would be a serious ...
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### Determine the range of values for a PI controller

There is a mistake in your expressions. The coefficient of $s$ is $2+k_p$. The conditions are: $$\frac{1}{3} \left(3 \left(k_p+2\right)-k_i\right)>0$$ $$k_i>0$$ $$k_p>0$$ This simplifies ...
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### What do the zeros of the transfer function tell you about a system?

Zeros are very important when you are looking at how to control a system. A good way to look at this is to examine a root locus plot. There are several rules on how to sketch a root locus, but the ...
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### How do I interpret the following Bode, Nyquist and Nichols diagrams?

Your systems shows extremely close pole-zero cancellation. So much even that it nearly removes 4 poles and zeros. Lets look at why, starting with the Bode plot: The magnitude plot is constantly ...
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Stretch in the spring delta $Y = A.sin(\omega.t) = A.sin\sqrt(k/m) . t$ So the delta Y is not constant but if you are interested in delt Y_max delta $Y max = m/k$, by Hooks law. Because your ...
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### How can I extract transfer function an unknown nonlinear system?

As I remember (learned it 15 yrs ago) You need to have an experimental data, which will help you to find "linear" sections and the their limits (with taking into account the things like hysteresis), ...
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### PI controller for second order system

Step 1: Draw the root locus of the system. Here you can see the two poles of your plant $G(s)$ (marked with an x), at $p_1=-9$ and $p_2=-1$, the pole of your controller $C(s)$ at $p_c = 0$ and the ...

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### How can I calculate the z-transformation of this transfer function of a time-discrete controller?

In order to solve it, you have to divide $G_s(s)$ by s first and then you have it in the form on which you can perform the Z-transform.
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