(b) The state space for a system is given below:X₁0 1[*]-[-25X₁[3]-*+UX2HO+-25 -4x₂y = [1_0]X₁Uwhere x₁, x₂ are the state variables, y is the output, and u is the input.Y(s)Obtain the transfer functionU(s)

Answered: Image /qna-images/answer/ea3c6a31-b30c-4ec1-8837-5459735c205d.jpg

The state space for a system is given below: 0 1 -25 -4 X₂ []- KH [*]+* X₁ y = [1 0] +u where x₁, x₂ are the state variables, y is the output, and u is the input. Y(s) Obtain the transfer function U(s)

The state space for a system is given below: 0 1 -25 -4 X₂ []- KH []+ X₁ y = [1 0] +u where x₁, x₂ are the state variables, y is the output, and u is the input. Y(s) Obtain the transfer function U(s)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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(b) The state space for a system is given below:
X₁
0 1
[*]-[-25
X₁
[3]-*
+U
X2
HO
+
-25 -4x₂
y = [1_0]
X₁
U
where x₁, x₂ are the state variables, y is the output, and u is the input.
Y(s)
Obtain the transfer function
U(s)

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Step 1: Determine the transfer function Y(s)/U(s):

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Step 2: Find the Variables A, B, C and D:

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Step 3: Find the transfer function:

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Step 4: Find the final expression of transfer function:

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