Any help will be rated, thanks! For the feedback system shown in Figure 1 with t

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Any help will be rated, thanks!

For the feedback system shown in Figure 1 with the following transfer Junctions P(S) 1 / (s + l)(s + 3)(s+ 10), C(s) = K (1) follow the design steps. Sketch the root locus. Find, the two dominant (second-order) closed-loop poles for which the system acts with a damping ratio of zeta = 0.5. That is, (i) find the intersection with the root locus, (ii) find the location of the third pole, (iii) judge whether the second-order approximation is valid (how far is the third pole from the dominant second-order poles). Compute the steady-state error for unit step input. Design a PI controller C(s) = K(s + 0.1) / s such that the steady-state error goes to zero for unit step input Figure 1: Unity feedback closed-loop system.

Explanation / Answer

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