# HW9 - of 0.707. (c) Compare the steady-state error to step...

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ECE 313 – Fall 2008 Homework # 9 Due Friday, October 31, 2008 1. A unity feedback control system has the following forward transfer function ) 30 )( 10 ( ) ( + + = s s s K s G (a) Design K such that the system operates at 20% overshoot. Find the dominant poles and settling time. (b) Design a compensator to decrease the settling time by a factor of 2 without affecting the overshoot. (c) Using Matlab, compare the characteristics of the uncompensated and compensated systems. 2. A unity feedback control system has the following forward transfer function ) 10 )( 3 )( 1 ( ) ( + + + = s s s K s G (a) Design K such that the system operates with a damping ratio of 0.707 (b) Design a PI controller such that the system operates with a damping ratio
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Unformatted text preview: of 0.707. (c) Compare the steady-state error to step inputs and the transient response characteristics of the uncompensated and compensated systems. Use Matlab to find the transient response characteristics. 3. A unity feedback control system has the following forward transfer function ) 3 )( 2 )( 1 ( ) ( + + + = s s s K s G Design a PID controller that will yield a peak time less than 1.57 sec and a damping ratio of 0.707, with zero error for step inputs. Plot the unit step response using Matlab. How close is it to the one predicted by the pair of dominant poles? If there is a significant difference, explain why....
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## This note was uploaded on 05/16/2011 for the course ECE 313 taught by Professor Gokcek,c during the Fall '08 term at Michigan State University.

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