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5. Consider the system represented in state variable from *(t) = Ax(t)+ Bu(t) y(t) = Cx(t) + Du(t)* where 1 A= 0 |-k -k -k C=[1 0 0], D=[0] 1 B = (a)What is the system transfer function? (b) For what values of k is the system stable?

5. Consider the system represented in state variable from *(t) = Ax(t)+ Bu(t) y(t) = Cx(t) + Du(t)* where 1 A= 0 |-k -k -k C=[1 0 0], D=[0] 1 B = (a)What is the system transfer function? (b) For what values of k is the system stable?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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5. Consider the system represented in state variable from *(t) = Ax(t)+Bu(t) y(t) = Cx(t) + Du(t)' where 1. [0] A = 0 B=0 |-k -k -k C=[1 0 0]. D=[0] (a)What is the system transfer function? (b) For what values of k is the system stable? (Hint : the system is represented by the controllable canonical form.)
Transcribed Image Text:5. Consider the system represented in state variable from *(t) = Ax(t)+Bu(t) y(t) = Cx(t) + Du(t)' where 1. [0] A = 0 B=0 |-k -k -k C=[1 0 0]. D=[0] (a)What is the system transfer function? (b) For what values of k is the system stable? (Hint : the system is represented by the controllable canonical form.)
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