5. Consider the system represented in state variable from*(t) = Ax(t)+Bu(t)y(t) = Cx(t) + Du(t)'where1.[0]A = 0B=0|-k -k -kC=[1 0 0]. D=[0](a)What is the system transfer function? (b) For what values of k is thesystem stable?(Hint : the system is represented by the controllable canonical form.)

State space paramter are given as

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)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

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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