The response of a servomechanism is 1+0.2e^-60t-1.2e^-10t when subjected to a unit step input. What is the damping ratio?(a) 1.21(b) 1.43(c) 1.59(d) 1.74The question was posed to me in an interview for job.My question is from Integral Square Error & its Minimization in section Error Analysis of Control Systems

The response of a servomechanism is 1+0.2e^-60t-1.2e^-10t when subject

1.	The response of a servomechanism is 1+0.2e^-60t-1.2e^-10t when subjected to a unit step input. What is the damping ratio?(a) 1.21(b) 1.43(c) 1.59(d) 1.74The question was posed to me in an interview for job.My question is from Integral Square Error & its Minimization in section Error Analysis of Control Systems
Answer» The correct CHOICE is (b) 1.43 The best I can EXPLAIN: First we apply Laplace Transform to the system and as R(s) = 1/s we get closed loop transfer FUNCTION as C(s)/R(s) = 600/s^2+70s+600. Then we compare it with the standard equation for second ORDER transfer function we got damping ratio = 70/2wn = 1.43.

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