Consider the closed loop control system with P-controller as shown. The plant transfer function is expressed...

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Consider the closed loop control system with P-controller as shown. The plant transfer function is expressed as G(s) = (a) Find the type number of the system and compute steady-state error for unit step input. (b) Calculate the required K in order to yield a steady-state error of 0.1 for unit ramp input. 4 s(s+1) Based on the value of K obtained in part b, find (c) the damping ratio and natural frequency an. (d) the settling time and percentage overshoot of the response. (e) the response y(t) for unit step input. R(s) K G(s) -Y(s) Consider the closed loop control system with P-controller as shown. The plant transfer function is expressed as G(s) = (a) Find the type number of the system and compute steady-state error for unit step input. (b) Calculate the required K in order to yield a steady-state error of 0.1 for unit ramp input. 4 s(s+1) Based on the value of K obtained in part b, find (c) the damping ratio and natural frequency an. (d) the settling time and percentage overshoot of the response. (e) the response y(t) for unit step input. R(s) K G(s) -Y(s)

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Part a Type number and steadystate error Type number The type number of a system is the number of poles of the plant transfer function Gs that are loc... View the full answer