# Questions tagged [control-theory]

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### Closed Loop transfer Function

Hi Guys wanted some help for breaking down a block diagram which can be seen below. I know that typically with feedback systems be it negative or positive you would employ using the following:- Close ...
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### Feedback Control Question: Finding compensator numerator (B(s)) and denominator (A(s)) polynomials to satisfy a specific requirement

I wish to find the polynomials B(s) and A(s) in the following compensator equation: A(s)D(s) + B(s)N(s) = F(s) Given, $$N(s) = s - 2$$ $$D(s) = s^2 - 1$$ $$F(s) = s^2 + 3*s + 4$$ Condition The degree ...
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### Determine the transfer function of a movement equation

The problem is the following. I have to control a spaceship (assuming no gravity, no mass, no friction / no external forces). In other words, the first equation in this question leads to $0 = 0$. My ...
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I understand equation (1), but I really don't see the connection between equation (2) and the picture. For starters, shouldn't the $b_0$ constant be multiplied by $$net(n)-(a_1 \cdot net(n - 1) + a_2 \... 1answer 158 views ### Gain and Phase Margins from Bode Plot What's the interpretation of the margins when the curve of magnitude never crosses 0 dB or the phase curve never crosses the -180º? For example:$$G(s) = \frac{s+20}{(s+1)(s+7)(s+50)} I know that ...
Given a nonlinear system $$\dot{x}=f(x),~x(0)=x_0 \tag{1}$$ where $f\in{\mathcal{C}^{1}}:D\to\mathbb{R}^{n}$. The Lasalle invariance theorem statement goes as follows: Let \$...