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Control Systems
Time Response Analysis

Practice questions from Time Response Analysis.

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Q#1 Time Response Analysis GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

Consider the standard second-order system of the form  with the poles  and  having negative real parts. The pole locations are also shown in the figure. Now consider two such second-order systems as defined below:

System 1:  and

System 2:  and

Which one of the following statements is correct?

Settling time of System 1 is more than that of System 2.

Settling time of System 2 is more than that of System 1.

Settling times of both the systems are the same.

Settling time cannot be computed from the given information.

Explanation:

Q#2 Time Response Analysis GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

Consider the cascaded system as shown in the figure. Neglecting the faster component of the transient response, which one of the following options is a first order pole-only approximation such that the steady-state values of the unit step responses of the original and the approximated systems are same?

Explanation:

  

 dominant pole  put  in remaining portion