Lect7 - Poles and zeros, response

Lect7 - Poles and zeros, response - Lecture Note 7 :...

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Lecture Note 7 : fects of Additional Poles/Zeros Effects of Additional Poles/Zeros and System Response AE353, Spring 2010 rof. Soon Chung Prof. Soon Jo Chung (sjchung@illinois.edu)
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Spring Damper System: Impulse response 22 2 2 2 2 () ( 1 ) nn n n n n Hs s ss s     2 ) dn nd d s 2 sin 1 ( ) 1 n t n d h te t t
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Fig. 3.16 (a) Impulse response vs. 0.6 0.8 1 0.2 0.4 -0.2 0 y(t) -0.6 -0.4 0 2 4 6 8 10 12 -1 -0.8 n t 2 () s in ( )1 1 n t n d ht e t t 
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ep Response Step Response 2 22 () () () dn d d Ys HsUs Us s   2 1 ) nd s n dd ss   2 11 ) nn n Ys s s    1 ( ( ) ) yt L Ys 1( ) cos( ) sin( ) tt n te t e t d
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2 Fig. 3.16 (b) Step response vs. 1.6 1.8 1.2 1.4 0.8 1 y(t) 0.4 0.6 0 2 4 6 8 10 12 0 0.2 n t ( ) 1( ) cos( ) sin( ) nn tt n dd d yt t e t e t  
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Time Domain Specification (step response) 1.4 eak time 1.2 Peak time 0.8 1 t) Overshoot 0.4 0.6 y( t 0.2 Settling Time 0 2 4 6 8 10 12 0 n t Rise Time
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amping Ratio and Natural Freq Damping Ratio and Natural Freq
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This note was uploaded on 04/12/2010 for the course AE 353 taught by Professor Voulgaris,p during the Spring '08 term at University of Illinois, Urbana Champaign.

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Lect7 - Poles and zeros, response - Lecture Note 7 :...

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