State Space Analysis MCQ

1. Consider the following properties attributed to state model of a system:

  1. State model is unique.
  2. Transfer function for the system is unique.
  3. State model can be derived from transfer function of the system.

Which of the above statements are correct?

  1. i, ii and iii
  2. i and ii only
  3. ii and iii only
  4. i and iii only
Answer
Answer. c

2. The state equations in the phase variable canonical form can be obtained from the transfer function by

  1. parallel decomposition
  2. inverse decomposition
  3. direct decomposition
  4. cascaded decomposition
Answer
Answer. c

3. When a transfer function model is converted into state-space model, the order of the system may be reduced during which one of the following conditions?

  1. The order of the system will never get changed.
  2. Pole, zero cancellation takes place.
  3. Some of the variables are hidden.
  4. Some of the variables are not considered.
Answer
Answer. a

4. Consider the following statements with respect to a system represented by its state-space model

\dot x = Ax + Bu and Y = Cx

  1. The static vector x of the system is unique.
  2. The eigen values of A are the poles of the system transfer function.
  3. The minimum number of state variables required is equal to the number of independent energy storage elements in the system.

Which of these statements are correct?

  1. i and ii
  2. ii and iii
  3. i and iii
  4. i, ii and iii
Answer
Answer. b

5. The transfer function for the state variable representation

\dot x = Ax + Bu and Y = Cx + Du, is given by

  1. C(sI – A)-1 D + B
  2. D(sI – A)-1 B + C
  3. B(sI – A)-1 C + D
  4. C(sI – A)-1 B + D
Answer
Answer. d
error: Content is protected !!

Adblocker detected! Please consider reading this notice.

We've detected that you are using AdBlock Plus or some other adblocking software which is preventing the page from fully loading.

We don't have any banner, Flash, animation, obnoxious sound, or popup ad. We do not implement these annoying types of ads!

We need fund to operate the site, and almost all of it comes from our online advertising.

Please add electricalvoice.com to your ad blocking whitelist or disable your adblocking software.

×