Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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If I have to ask the question piece by piece, write down how I should ask it.
Subject : "Lineer Algebra"(ElectricalEngineering)
Books about the question:
"Chi Tsong Chen, Linear System Theory and Design"
“John S. Bay, Fundamentals of Linear State Space Systems"
NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom-
ialRoots, Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut-
ions,ExplainThemWithTheirReasons.
1. The input of the adjacent circuit is “u(t) = V1(t)"
and its outputs are "yı (t) = ig1(t)" (current on R1)
İR1,
and "y2 (t) = V11 (t)" (Voltage on L1).
R1
L1
C1
a) Obtain the state space representation of the system for "x, (t) = Vca(t)" and "x2 (t) = i1(t)".
b) (in parameters)
c) Obtain the state space representation of the system for the state variables ;(t) = 2ig1 (t) + V11 (t) and
K2(t):
= 3 )
dt. (in parameters)
d) For "R1 = 1, C1 = 1, L1 = 1", find the transfer function matrix of the system separately from the
representations in options a and b and compare the results.
e) For "R1 = 1, C1 = 1, L1 = 1", find the impulse response matrix of the system separately from the
representations in options a and b and compare the results.
f) Draw the impulse response. (Note: You can draw with a computer (MATLAB etc.) if you want.)
g) Repeat c, d, e for "R1 = 1, C1 = 1, L1 = 4"
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Transcribed Image Text:If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.),ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions,ExplainThemWithTheirReasons. 1. The input of the adjacent circuit is “u(t) = V1(t)" and its outputs are "yı (t) = ig1(t)" (current on R1) İR1, and "y2 (t) = V11 (t)" (Voltage on L1). R1 L1 C1 a) Obtain the state space representation of the system for "x, (t) = Vca(t)" and "x2 (t) = i1(t)". b) (in parameters) c) Obtain the state space representation of the system for the state variables ;(t) = 2ig1 (t) + V11 (t) and K2(t): = 3 ) dt. (in parameters) d) For "R1 = 1, C1 = 1, L1 = 1", find the transfer function matrix of the system separately from the representations in options a and b and compare the results. e) For "R1 = 1, C1 = 1, L1 = 1", find the impulse response matrix of the system separately from the representations in options a and b and compare the results. f) Draw the impulse response. (Note: You can draw with a computer (MATLAB etc.) if you want.) g) Repeat c, d, e for "R1 = 1, C1 = 1, L1 = 4"
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