Problem 4: Compensator Design using the Root Locus – Each part specifies what to submit in your 11W. – As a guide. see the document “Guide to Compensator Design using MATLAB SISOtool” that is posted on Blackboard under Lecture Notes. A servomechanism position control is given by the negative feedback control loop below: Dl .c P(s) • y 10 P(s) s(s +1)(s +10) You will design a compensator D(s) to produce a closed-loop response to a reference step input that has no more than 16% maximum overshoot (Mp < 0.16) and a rise time of no more than 0.4 sec (t, < 0.4). (a) Given the specifications on Alp and tr. compute the constraints on the damping ratio C and the natural undamped frequency con. assuming that we approximate the closed-loop system as 2°d-order. Submit your calculations.
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