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Problem 1: Consider the parallel subsystems shown in Figure 1. If G1(s) is represented in state space as x₁ = A₁x₁ + B₁r Y₁ = C1X1 and G₂(s) is represented in state space as show that the entire system can be represented in state space as X1 y R(s) X2 = A2X2 + B₂r Y/₂ = C₂ X₂ A1 0 0 A2 X2 = [G₂₁ C₂] G₁(s) X1 B1 + B₂ JAA N X1 X2 G₂(s) Figure 1 Y₁(s) Y₂(s) Y(s) r

Problem 1: Consider the parallel subsystems shown in Figure 1. If G1(s) is represented in state space as x₁ = A₁x₁ + B₁r Y₁ = C1X1 and G₂(s) is represented in state space as show that the entire system can be represented in state space as X1 y R(s) X2 = A2X2 + B₂r Y/₂ = C₂ X₂ A1 0 0 A2 X2 = [G₂₁ C₂] G₁(s) X1 B1 + B₂ JAA N X1 X2 G₂(s) Figure 1 Y₁(s) Y₂(s) Y(s) r

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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Problem 1: Consider the parallel subsystems shown in Figure 1. If G1(s) is represented in state space as x₁ = A₁X₁ + B₁r Y₁ = C1X1 and G₂(s) is represented in state space as show that the entire system can be represented in state space as X1 y R(s) X2 = A2X2 + B₂r Y/₂ = C₂ X₂ A1 0 A2 = [G₂₁ C₂] 0 G₁(s) G₂(s) Figure 1 Y₁(s) Y₂(s) X1 + X1 N X2 Y(s) B1 B₂ r
Transcribed Image Text:Problem 1: Consider the parallel subsystems shown in Figure 1. If G1(s) is represented in state space as x₁ = A₁X₁ + B₁r Y₁ = C1X1 and G₂(s) is represented in state space as show that the entire system can be represented in state space as X1 y R(s) X2 = A2X2 + B₂r Y/₂ = C₂ X₂ A1 0 A2 = [G₂₁ C₂] 0 G₁(s) G₂(s) Figure 1 Y₁(s) Y₂(s) X1 + X1 N X2 Y(s) B1 B₂ r
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