EE 302 HW7 2010

# EE 302 HW7 2010 - EE 302 HW7 (Spring 2009-2010) 1-) 2-) 3-)...

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EE 302 HW7 (Spring 2009-2010) 1-) 2-) 3-) 4-)

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5-) 6-)

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7-) 8-) Consider the unity feedback system below (inverted pendulum) ) 1 ( 1 ) ( 2 - = s s G a. Design a lead compensator to achieve a PM of 30 0 using Bode plot sketches. Then verify your design using MATLAB. b. Sketch a root locus and correlate it with the Bode plot of the system. c. Could you obtain the frequency response of this system experimentally? 9-) The open loop response of a unity feedback system is ) 1 50 )( 1 5 ( ) ( + + = s s s K s G d. Design a compensator for G(s) using Bode plot sketches so that the closed loop system satisfies the following specifications: i-) The steady state error to a unit ramp reference input is less than 0.01. ii-) PM is greater than or equal to 80 0 .
e. Verify and refine your design using MATLAB. Hint: You may utilize a lead-lag compensator combination, if you want. 10-) Design a phase lag compensator 0 , 1 1 + + β Ts Ts in cascade with a system with open loop transfer function 2 ) 1 ( ) ( s

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## This note was uploaded on 01/30/2011 for the course EE 302 taught by Professor Erkmen during the Spring '10 term at Middle East Technical University.

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EE 302 HW7 2010 - EE 302 HW7 (Spring 2009-2010) 1-) 2-) 3-)...

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