4. For the following system: *(t) = [(33₂2] x(t) + [5] u(t) y(t) = [10] x(t) (a) Find the transfer function of the system (b) Because there are no pole-zero cancellations, we can write a state-space representation of the system directly from the transfer function as in Section 6.2 of the lecture notes. This form is called the controllable canonical form (CCF). Write the CCF of this system from the transfer function found in (a) (c) Determine the transfer function from the system derived in (b). Is it the same as the one you found in (a)?

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4. For the following system:
*(t) = [(33₂2] x(t) + [5] u(t)
y(t) = [10] x(t)
(a) Find the transfer function of the system
(b) Because there are no pole-zero cancellations, we can write a state-space representation of the system
directly from the transfer function as in Section 6.2 of the lecture notes. This form is called the
controllable canonical form (CCF). Write the CCF of this system from the transfer function found
in (a)
(c) Determine the transfer function from the system derived in (b). Is it the same as the one you found
in (a)?
Transcribed Image Text:4. For the following system: *(t) = [(33₂2] x(t) + [5] u(t) y(t) = [10] x(t) (a) Find the transfer function of the system (b) Because there are no pole-zero cancellations, we can write a state-space representation of the system directly from the transfer function as in Section 6.2 of the lecture notes. This form is called the controllable canonical form (CCF). Write the CCF of this system from the transfer function found in (a) (c) Determine the transfer function from the system derived in (b). Is it the same as the one you found in (a)?
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