State space representation e,(t)+e,(t)(R,e (t)llLFor the electrical system given above, the ej and ez are the system inputs, and e, (potential dropover R2) is the output. Derive a state-space representation of this system of the form:State Equation: x = Ax+ BuOutput Equation: y = Cx+Duwhere x, y and u are state, output and input vectors, respectively. Clearly identify the A,B,C andD matrices in your representation.

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Answered: e,(t) + R, R,{e (t) e,() ll L

Engineering

Electrical Engineering

e,(t) + R, R,{e (t) e,() ll L

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

State space representation

e,(t)
+
e,(t)(
R,e (t)
ll
L
For the electrical system given above, the ej and ez are the system inputs, and e, (potential drop
over R2) is the output. Derive a state-space representation of this system of the form:
State Equation: x = Ax+ Bu
Output Equation: y = Cx+Du
where x, y and u are state, output and input vectors, respectively. Clearly identify the A,B,C and
D matrices in your representation.

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