question archive As a control system engineer you have been asked to design a controller that would improve the error and the transient response for the unity feedback system below

As a control system engineer you have been asked to design a controller that would improve the error and the transient response for the unity feedback system below

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As a control system engineer you have been asked to design a controller that would improve the error and the transient response for the unity feedback system below. The proposed solution must be cost-effective, so consider a passive network-based compensator. The transient response of the closed-loop transfer function to a ramp input has a 30% overshoot (%OS = 30) and a settling time Ts= 2.73 seconds. You need to decrease the peak time by a factor of 2, decrease the percentage overshoot by a factor of 2 and improve the steady-state error by a factor of 30.

a. What type of compensator should you implement in this case?

b. Find the gain for the uncompensated system.

c. Find the peak time, Tp, the velocity constant, Kv, and the steady-state error, for the uncompensated system.

d. Assume that the compensator zero is placed at -5 and design your compensator accordingly. 

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