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  3. question 1 7 marks consider the system d2y dt2 ...

Question: question 1 7 marks consider the system d2y dt2 ...

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Question 1. [7 marks] Consider the system

d2y

dt2 +

b

m

dy

dt

+

k

m

y =

1

m

d2u

dt2 +

b

m

du

dt

+

k

m

u

1. [2 marks] Obtain the transfer function for the system.

2. [5 marks] Express the system in state space controller canonical form.

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