Question: Consider the liquid level control system with the plant transfer function G(s) = 7/x 2 +8x+7 (a) Design a proportional controller so that the damping

Consider the liquid level control system with the plant transfer function G(s) = 7/x2+8x+7

(a) Design a proportional controller so that the damping ratio is 0.707. 

(b) Design a PI controller so that the settling time is less than 4 sec. 

(c) Design a PD controller so that the rise time is less than 1 sec. 

(d) Design a PID controller so that the settling time is less than 2 sec.

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