ProDiems1. A system has the following transfer function, derive state and output equations.Y(s)1U(s)s2 + 2s + 12. 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)1U(s)s3 + 5s2 + 25s +54. Consider the system described byÿ + 3ÿ + 2ý = uDerive a state-space representation of the system.5. Find A and B matrices for the following system described by the given D.E where yis the output of the system and r is the input.d²y, dy+ 10dt4d*ydt2+ 5y = 5rdt

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

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Question

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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