Q3. Find the state-space representation in phase-variable form (x,x2, X3, etc ... as state variables) for the following transfer function: (s+5)(s+4) (s +3)(s + 2)(s + 1) G(s): %3D p a. Write the differential equations of the transfer function. b. Write the state equations. In vector-matrix form x = Ax + Bu and y Cx, write the matrix A, B and C. d. Draw the equivalent block diagram showing phase variables. (Hint: Separate the system into two cascaded blocks) [ C.

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Q3. Find the state-space representation in phase-variable form (*,x2, X3, etc ... as state variables) for the
following transfer function:
(s + 5)(s + 4)
(s + 3)(s + 2)(s + 1)
G(s) =
Da. Write the differential equations of the transfer function.
- b. Write the state equations.
c. In vector-matrix form x Ax+ Bu and y = Cx, write the matrix A, B and C.
d. Draw the equivalent block diagram showing phase variables.
(Hint: Separate the system into two cascaded blocks) ["
Transcribed Image Text:Q3. Find the state-space representation in phase-variable form (*,x2, X3, etc ... as state variables) for the following transfer function: (s + 5)(s + 4) (s + 3)(s + 2)(s + 1) G(s) = Da. Write the differential equations of the transfer function. - b. Write the state equations. c. In vector-matrix form x Ax+ Bu and y = Cx, write the matrix A, B and C. d. Draw the equivalent block diagram showing phase variables. (Hint: Separate the system into two cascaded blocks) ["
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