1. A system has the following transfer function, derive state and output equations. Y(s) 1 %3D U(s) s2 + 2s + 1

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ProDiems
1. A system has the following transfer function, derive state and output equations.
Y(s)
1
U(s)
s2 + 2s + 1
2. A system has the following transfer function,
Y(s)
U(s)
(s + 10)(s² + 4s + 16)
(a) Find the state and output equations.
(b) Find the matrices A, B, C, D.
3. Find the state and output equations for the following transfer function.
Y(s)
1
U(s)
s3 + 5s2 + 25s +5
4. Consider the system described by
ÿ + 3ÿ + 2ý = u
Derive a state-space representation of the system.
5. Find A and B matrices for the following system described by the given D.E where y
is the output of the system and r is the input.
d²y, dy
+ 10
dt4
d*y
dt2
+ 5y = 5r
dt
Transcribed Image Text:ProDiems 1. A system has the following transfer function, derive state and output equations. Y(s) 1 U(s) s2 + 2s + 1 2. A system has the following transfer function, Y(s) U(s) (s + 10)(s² + 4s + 16) (a) Find the state and output equations. (b) Find the matrices A, B, C, D. 3. Find the state and output equations for the following transfer function. Y(s) 1 U(s) s3 + 5s2 + 25s +5 4. Consider the system described by ÿ + 3ÿ + 2ý = u Derive a state-space representation of the system. 5. Find A and B matrices for the following system described by the given D.E where y is the output of the system and r is the input. d²y, dy + 10 dt4 d*y dt2 + 5y = 5r dt
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