Consider the following system that consists of two sub-systems in parallel. 3 s+2 U(s) Y(s) 1 s+1 Determine the transfer function of the system, H(s), such that Y(s) = H(s)U(s) a) Is this system stable? Justify your answer. b) What is the impulse response of the system, h(t)? c) Write the system in controller canonical form. d) Express the system as a differential equation of input u(t) and output y(t).

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Consider the following system that consists of two sub-systems in
parallel.
3
S+2
U(s)
Y(s)
1
s+1
Determine the transfer function of the system, H(s), such that
Y(s) = H(s)U(s)
a) Is this system stable? Justify your answer.
b) What is the impulse response of the system, h(t)?
c) Write the system in controller canonical form.
d) Express the system as a differential equation of input u(t) and
output y(t).
Transcribed Image Text:Consider the following system that consists of two sub-systems in parallel. 3 S+2 U(s) Y(s) 1 s+1 Determine the transfer function of the system, H(s), such that Y(s) = H(s)U(s) a) Is this system stable? Justify your answer. b) What is the impulse response of the system, h(t)? c) Write the system in controller canonical form. d) Express the system as a differential equation of input u(t) and output y(t).
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