Questions tagged [linear-control]
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7
questions
0
votes
1answer
32 views
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 ...
-1
votes
1answer
79 views
designing compensator with certain specification
Ηere is an open-loop transfer function and specifications for compensator design.
I defined the required poles and defined the angles according to the normal procedure of the root locus method and ...
1
vote
1answer
120 views
Is nonlinear control slower than linear control?
Is there any scientific comparison between linear and nonlinear systems?
I often hear that
Nonlinear control is more sluggish than linear control.
which makes sense. But is there any research or ...
4
votes
1answer
112 views
How to design the right input to obtain a desired output for a linear system?
If I have a state-space model, so that matrices $A$, $B$, $C$ and $D$ are known, how can I design the right input $u$, so that $y$ is a desired signal, say, a sine wave with constant amplitude?
$$\...
5
votes
2answers
304 views
Minimal realization of a MISO system
Given the following system:
$$\dot{x} = \begin{bmatrix}1 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 1 & 1 \end{bmatrix}x + \begin{bmatrix}0 & 1 \\ 1 & 0 \\ 0 & 1 \end{bmatrix} u$$...
8
votes
1answer
284 views
Why is it impossible to create an observer for this not fully observable system?
Consider a 1D point-mass moving along an axis. A force $u$ is applied as control. There is no gravity or other forces involved. The system can be described in state space equations as:
$$\begin{align}...
6
votes
2answers
240 views
Controllability of $x' = Ax + Bu(t)$ implies controllability of $\left \{ \begin{matrix} x' = Ax + By \\ y'=u(t) \end{matrix} \right.$
Suppose that the system
$$x'(t)=Ax(t)+Bu(t)$$
is controllable in $\mathbb{R}^n$, where $A$ is $n \times n$, $B$ is $ n \times m$ and $u(t)$ is $m \times 1$
Show that the system
$$\left \{ \begin{...
