The circuit shown in Figure 3 consists of an inductor L, a capacitor C, and a resistor R. The input is the source voltage Vs(t) and the output is the voltage Vo across the resistor Ro.Using IL and Vc as the state variables, Construct a complete state-space model for the system shown in figure 3. Specifically, express system equations in the vector-matrix form:in the usual notation, where ‘x’ is the state vector, ‘u’ is the input vector, and ‘y’ is the output vector, and determine all the elements of the four matrices A, B, C, and D in terms of the circuit parameters R, Ro, L, and C. The circuit shown in Figure 3 consists of an inductor L, a capacitor C,and a resistor R. The input is the source voltage Vs(t) and the output isthe voltage Vo across the resistor Ro.Vs(t)RFigure 3Using IL and Vc as the state variables, Construct a complete state-spacemodel for the system shown in figure 3. Specifically, express systemequations in the vector-matrix form:i = Ax+ Buy = Cx+Duin the usual notation, where 'x' is the state vector, 'u' is the inputvector, and 'y' is the output vector, and determine all the elements ofthe four matrices A, B, C, and D in terms of the circuit parameters R,Ro, L, and C.

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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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The circuit shown in Figure 3 consists of an inductor L, a capacitor C, and a resistor R. The input is the source voltage Vs(t) and the output is the voltage Vo across the resistor Ro. Using IL and Vc as the state variables, Construct a complete state-space model for the system shown in figure 3. Specifically, express system equations in the vector-matrix form: in the usual notation, where ‘x’ is the state vector, ‘u’ is the input vector, and ‘y’ is the output vector, and determine all the elements of the four matrices A, B, C, and D in terms of the circuit parameters R, Ro, L, and C.

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