HW_10 - ) 1 ( 1 ) ( s s s G and 2 1 ) ( s s H . Manually...

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ECE 313 (Spring 2009) Homework #10 (Due: April 17, 2009, Friday, in class) Reading Assignment Reminder: Sections 10.1-10.5 Problems: 1) (20 pts) For each of the following transfer function ) ( s G , plot its asymptotic Bode plots by hand, and then use the Matlab command “bode” to create the exact Bode plots. [You are encouraged to use the posted BodePaper.m to create grid for your asymptotic plots, so you can more accurately follow the slopes;also make sure you properly mark the curves and indicate the slopes of each segment]. (a) ) 100 )( 5 )( 1 ( ) 10 ( 5 ) ( s s s s s G (b) ) 20 ( ) 2 . 0 )( 2 ( ) ( 2 s s s s s G 2) (10 pts) Consider the following system, where
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Unformatted text preview: ) 1 ( 1 ) ( s s s G and 2 1 ) ( s s H . Manually sketch the Nyquist diagram (show your work), and determine the stability of the closed-loop system with the Nyquist criterion. + 3) (10 pts) Consider the following system, where 1 ) 1 ( ) ( s s K s G and 2 1 ) ( s s H . Manually sketch the Nyquist diagram (show your work) for the case 1 K , and then use the Nyquist criterion to determine the range of value for K such that the closed-loop system is stable. _ Y R ( ) G s ) ( s H + _ Y R ( ) G s ) ( s H 1...
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