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5) Consider the following transfer-function system: Y(s) U(s) 282 + 38 +1 g3 + 582 + 6s +7 The controllable canonical state-space representation of this system is 0 1 0 0 1 0 u; y = [1 3 2]a %3D 7 6 5 1 i = |0 0 1 u; y = [2 3 1] æ 6 5 1 1 x + |0 u; y =[1 3 2]a -7 -6 -5 1 1 x + u; y = [2 3 1]æ -7 -6 -5

5) Consider the following transfer-function system: Y(s) U(s) 282 + 38 +1 g3 + 582 + 6s +7 The controllable canonical state-space representation of this system is 0 1 0 0 1 0 u; y = [1 3 2]a %3D 7 6 5 1 i = |0 0 1 u; y = [2 3 1] æ 6 5 1 1 x + |0 u; y =[1 3 2]a -7 -6 -5 1 1 x + u; y = [2 3 1]æ -7 -6 -5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5) Consider the following transfer-function system: Y(s) 2s2 + 3s +1 U(s) g3 + 582 + 6s +7 The controllable canonical state-space representation of this system is 0 1 0 0 1 u; y = [1 3 2]x 7 6 5 1 0 0 1 x + |0 0 u; y= [2 3 1]x 7 6 5 1 1 x + 0 u; y=[1 3 2]x -7 -6 -5 1 0. 1 u; y = [2 3 1]x -7 -6 -5
Transcribed Image Text:5) Consider the following transfer-function system: Y(s) 2s2 + 3s +1 U(s) g3 + 582 + 6s +7 The controllable canonical state-space representation of this system is 0 1 0 0 1 u; y = [1 3 2]x 7 6 5 1 0 0 1 x + |0 0 u; y= [2 3 1]x 7 6 5 1 1 x + 0 u; y=[1 3 2]x -7 -6 -5 1 0. 1 u; y = [2 3 1]x -7 -6 -5
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