The block diagram of a simple servo system is shown below ![Diagram](h

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Unit 3.0: Time Response Analysis

20247m

The block diagram of a simple servo system is shown below

Diagram

(i) If $k = 10$ , determine the values of 'a' and 'b' to give an overshoot of $16\%$ and a time constant of $0.1$ sec to a unit step input.
(ii) Determine $t_r$ , $t_p$ , $\omega_d$ and $t_{ss}$ if $k = 40$ .

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