A servomechanism position control has the plant transfer function You are to design a

Chapter 5, Problem 5.27

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A servomechanism position control has the plant transfer function You are to design a series compensation transfer function D(s) in the unity feedback configuration to meet the following closed-loop specifications: The response to a reference step input is to have no more than 16% overshoot. The response to a reference step input is to have a rise time of no more than 0.4 sec. The steady-state error to a unit ramp at the reference input must be less than 0.02. (a) Design a lead compensation that will cause the systemtomeet the dynamic response specifications. (b) If D(s)is proportional control, D(s) = kp , what is the velocity constant Kv? (c) Design a lag compensation to be used in series with the lead you have designed to cause the system to meet the steady-state error specification. (d) Give the MATLAB plot of the root locus of your final design. (e) Give the MATLAB response of your final design to a reference step