Consider a control system descried by Y(s) (s+4) U(s) (s+2)(s+3) = a. Obtain state-space representation in time domain as x(t) Ax(t) + Bu(t), y (t) Cx(t) + Du(t). z(t) y(t) = = b. Obtain the Controllable Canonical Form (CCF), c. Obtain the Diagonal Canonical Form (DCF) as Âz(t)+Bu(t) Cz(t) = =

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Consider a control system descried by
Y(s)
U(s)
a. Obtain state-space representation in time domain as
x(t)
Ax(t) + Bu(t),
y(t)
Cx(t) + Du(t).
=
z(t)
y (t)
(s+4)
(s+2)(s +3)
=
b. Obtain the Controllable Canonical Form (CCF),
c. Obtain the Diagonal Canonical Form (DCF) as
=
=
Az(t) + Bu(t)
Cz(t)
Transcribed Image Text:Consider a control system descried by Y(s) U(s) a. Obtain state-space representation in time domain as x(t) Ax(t) + Bu(t), y(t) Cx(t) + Du(t). = z(t) y (t) (s+4) (s+2)(s +3) = b. Obtain the Controllable Canonical Form (CCF), c. Obtain the Diagonal Canonical Form (DCF) as = = Az(t) + Bu(t) Cz(t)
Expert Solution
Step 1

Given:

Y(s)U(s)=S+4S+2S+3

Find:

  1. Obtain state-space representation in time domain 
  2. Obtain Controllable Canonical Form (CCF)
  3. Obtain Diagonal Canonical Form (DCF)
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