Question

A first order system and its response to a unit step input are shown in figure below. The system parameters are____________

(a) a=5 and k=12

(b) a=10 and k=5

(c) a=5 and k=10

(d) a=8 and k=9

I had been asked this question during an interview.

Question is from Time Response of First Order Systems topic in chapter Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer 1

Right choice is (c) a=5 and k=10

The best explanation: time constant=0.2 sec.

  1/a=0.2

  a=5

  final value=lims→0 sC(s) =K/a

  K/a=2

  K=10.