1) Design a continuous controller C(s) that will achieve the following design specifications

a)Not more than 20% overshoot due to a step input

b) Settling time of not more than 10 seconds.

2)Using a sampling time of T=0.5 sec, design a discrete time controller C(z)

(a) Not more than 20% overshoot due to a step input (b) Settling time of not more than 10 seconds.

Problem 2: Design a continuous controller C(s) that will achieve the following design specifications $Q-306) 742+28-75 10 33+2s2 +s (a) Not more than 20% overshoot due to a step input (b) Settling time of not more than 10 seconds. Submit: Controller transfer function, Bode plot of controller+plant, and step response plot ( step(feedback(C*G,1))). HINT: USE PHASE LEAD CONTROLLER Problem 3: Using a sampling time of T=0.5 sec, design a discrete time controller C(z) Bresciz) H420H 53 +252+s+ ZOH T=0.5 S3+2 s2 +s (a) Not more than 20% overshoot due to a step input (b) Settling time of not more than 10 seconds. Submit: C(z), Bode plot of controller+plant, and step response ( step(feedback(C*G,1))) HINT: USE PHASE LEAD CONTROLLER Problem 2: Design a continuous controller C(s) that will achieve the following design specifications $Q-306) 742+28-75 10 33+2s2 +s (a) Not more than 20% overshoot due to a step input (b) Settling time of not more than 10 seconds. Submit: Controller transfer function, Bode plot of controller+plant, and step response plot ( step(feedback(C*G,1))). HINT: USE PHASE LEAD CONTROLLER Problem 3: Using a sampling time of T=0.5 sec, design a discrete time controller C(z) Bresciz) H420H 53 +252+s+ ZOH T=0.5 S3+2 s2 +s (a) Not more than 20% overshoot due to a step input (b) Settling time of not more than 10 seconds. Submit: C(z), Bode plot of controller+plant, and step response ( step(feedback(C*G,1))) HINT: USE PHASE LEAD CONTROLLER