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).
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).
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
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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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