Q-2 Suppose a system, as shown in the block diagram of a unity feedback loop, below, has a transfer function, P(S) = . We want to stabilize this system with a proportional integral (PI) controller, such that the poles of the characteristic equation are to be: s, = s2 = S3 = -1. If we let the controller, C(s) = , determine all parameters (a, a, b , K, and K) in the following transfer function in order to satisfy both given and required conditions. [28 pts.] bo (Kps + KD Try(8) = 33 + ,82 + (Qo+Kpbo)s + Kibo
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