Question

Feedback Control of Dynamic Systems (7th edition) - Problem 7.19

Consider the transfer function
7.19
Y (s)
s 6
(7.283)
G(s)
s25s6
U (s)
(a) By rewriting Eq. (7.283) in the form
1
Y (s)
S+6
G(s)
U (s)
s 3
S+2
find a series realization of G(s) as a cascade of two first-order systems
(b) Using a partial-fraction expansion of G(s), find a parallel realization of
G(s)
(c) Realize G(s) in control canonical form

Image Transcription

Consider the transfer function 7.19 Y (s) s 6 (7.283) G(s) s25s6 U (s) (a) By rewriting Eq. (7.283) in the form 1 Y (s) S+6 G(s) U (s) s 3 S+2 find a series realization of G(s) as a cascade of two first-order systems (b) Using a partial-fraction expansion of G(s), find a parallel realization of G(s) (c) Realize G(s) in control canonical form

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