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(a) Figure Q.3a illustrates a circuit for representing an electrical system consisting of capacitor (C), resistor (R), and inductor (L). The voltage V (t) and V, (t) are the input to the system, u(t) = The output is the current that pass through the resistor y(t) = ir (t). Identify a state space representation of the system using x() = [8] as the state variables. R ee ww- İL(t) İR(t) ic(t) Vý(t) Va(t) Vc(t) C 表达为最 Figure Q.3a

(a) Figure Q.3a illustrates a circuit for representing an electrical system consisting of capacitor (C), resistor (R), and inductor (L). The voltage V (t) and V, (t) are the input to the system, u(t) = The output is the current that pass through the resistor y(t) = ir (t). Identify a state space representation of the system using x() = [8] as the state variables. R ee ww- İL(t) İR(t) ic(t) Vý(t) Va(t) Vc(t) C 表达为最 Figure Q.3a

Introductory Circuit Analysis (13th Edition)
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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(a) Figure Q.3a illustrates a circuit for representing an electrical system consisting of capacitor (C), resistor (R), and inductor (L). The voltage V (t) and V, (t) are the input to the system, u(t) = The output is the current that pass through V½(t)] the resistor y(t) = iR (t). Identify a state space representation of the system using x(1) = [81 as the state variables. R İL(t) İR(t) Va(t) Vc(t) ic(t) ~) Vo(t) 表达为最 Figure Q.3a (b) Determine the state space representation of the system shown in Figure Q.3b, where the input torque is f(t) and the output is x3(t). r(1) X3(1) 4 N/m N-s/m A1). 4 kg 3 N/m 3 kg 2 kg 3 N/m 2 N'm 4 Nm 3 N-s/m 2 N-s/m I N-s m Figure Q.3b please ignore the background text Bartleby and solve black part only. x+y"- °c, x^-k yt 2x°+3x+4=y (x+y). a*+b²-(a+b)(a2=ab+b2) reametime- 8 x+6 y=sinx Ga+b? X+2 reamstime 2 16
Transcribed Image Text:(a) Figure Q.3a illustrates a circuit for representing an electrical system consisting of capacitor (C), resistor (R), and inductor (L). The voltage V (t) and V, (t) are the input to the system, u(t) = The output is the current that pass through V½(t)] the resistor y(t) = iR (t). Identify a state space representation of the system using x(1) = [81 as the state variables. R İL(t) İR(t) Va(t) Vc(t) ic(t) ~) Vo(t) 表达为最 Figure Q.3a (b) Determine the state space representation of the system shown in Figure Q.3b, where the input torque is f(t) and the output is x3(t). r(1) X3(1) 4 N/m N-s/m A1). 4 kg 3 N/m 3 kg 2 kg 3 N/m 2 N'm 4 Nm 3 N-s/m 2 N-s/m I N-s m Figure Q.3b please ignore the background text Bartleby and solve black part only. x+y"- °c, x^-k yt 2x°+3x+4=y (x+y). a*+b²-(a+b)(a2=ab+b2) reametime- 8 x+6 y=sinx Ga+b? X+2 reamstime 2 16
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