(20 pts) Consider the steering system given in Figure 4. The plant transfer function G(s) is given as 1 G(s)=- s(s+2) a)

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20 Pts Consider The Steering System Given In Figure 4 The Plant Transfer Function G S Is Given As 1 G S S S 2 A 1 (40.21 KiB) Viewed 40 times

(20 pts) Consider the steering system given in Figure 4. The plant transfer function G(s) is given as 1 G(s)=- s(s+2) a) By using a hand sketched root locus, design a PD compensator G (s) to yield the following specifications: Settling time is 1 s, overshoot is less than or equal to 4.33 % (5-0.707). Show all steps. Re-sketch the root locus for the compensated system. b) Calculate the steady state error due to a unit ramp input with the compensator you designed. c) Comment on the actual performance of the compensator designed. Will it satisfy all design constraints? Y(s) Steering R(s) G. (s) G(s) angle Figure 4: A control system