• retagged by
643 views
0 0 votes

The state diagram of a system is shown below. A system is described by the state-variable equations

$$\dot{X}= AX+Bu;\:\: y = CX+Du$$

The state-variable equations of the system shown in the figure above are

  1. $\dot{X} = \begin{bmatrix} -1 & 0 \\ 1 & -1 \end{bmatrix}X + \begin{bmatrix} -1\\ 1 \end{bmatrix}u\:,\:\:\:\:y =\begin{bmatrix} 1&-1 \end{bmatrix}X + u$
  2. $\dot{X} = \begin{bmatrix} -1 & 0 \\ -1 & -1 \end{bmatrix}X + \begin{bmatrix} -1\\ 1 \end{bmatrix}u\:,\:\:\:\:y =\begin{bmatrix} -1& -1 \end{bmatrix}X + u$
  3. $\dot{X} = \begin{bmatrix} -1 & 0 \\ -1 & -1 \end{bmatrix}X + \begin{bmatrix} -1\\ 1 \end{bmatrix}u\:,\:\:\:\:y =\begin{bmatrix} -1& -1 \end{bmatrix}X - u$
  4. $\dot{X} = \begin{bmatrix} -1 & -1 \\ 0 & -1 \end{bmatrix}X + \begin{bmatrix} -1\\ 1 \end{bmatrix}u\:,\:\:\:\:y =\begin{bmatrix} 1& -1 \end{bmatrix}X - u$

Please log in or register to answer this question.

Answer:
Position:
Show:

Related questions

0 0 votes
0 0 answers
445
445 views
Milicevic3306 asked Mar 25, 2018
445 views
The impulse response of a continuous time system is given by $h(t) = \delta(t-1) + \delta(t-3).$ The value of the step response at $t = 2$ is $0$$1$$2$$3$
0 0 votes
0 0 answers
406
406 views
Milicevic3306 asked Mar 25, 2018
406 views
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is$ e^{-\pi ...
0 0 votes
0 0 answers
483
483 views
Milicevic3306 asked Mar 25, 2018
483 views
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system? All the poles of the system must lie on the left side of the $j\omeg...
0 0 votes
0 0 answers
378
378 views
Milicevic3306 asked Mar 25, 2018
378 views
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is$5\: kHz $$12...

Add Synced Question

×