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U2 = Y1 U1 S1 S2 Figure 1: Block diagram of the system S. Y2 where A1 A₁ = · | ₁ 12]), B₁ = [], C₁ = (2 1], [ 0 A₂ = -1, A2 -1 -2 B1 B₂ = 1, C₂ = 1. The two subsystems are cascaded forming an overall system S, as shown in Figure 1. (a) (b) (c) Denote X1 x = X2 Write down the state-space equation of the overall system S with input u₁, output y2, and state x. Verify reachability (controllability) and observability of the system S. system S. Calculate the transfer function from u₁ to y2 of the 6. Consider the following two single-input single-output sub- systems: S₁₁: x₁ = A1x1 + B₁u1 Y₁ = C₁x1 x2 = A2x2 + B2u2 S2: Y2 = C2x2

U2 = Y1 U1 S1 S2 Figure 1: Block diagram of the system S. Y2 where A1 A₁ = · | ₁ 12]), B₁ = [], C₁ = (2 1], [ 0 A₂ = -1, A2 -1 -2 B1 B₂ = 1, C₂ = 1. The two subsystems are cascaded forming an overall system S, as shown in Figure 1. (a) (b) (c) Denote X1 x = X2 Write down the state-space equation of the overall system S with input u₁, output y2, and state x. Verify reachability (controllability) and observability of the system S. system S. Calculate the transfer function from u₁ to y2 of the 6. Consider the following two single-input single-output sub- systems: S₁₁: x₁ = A1x1 + B₁u1 Y₁ = C₁x1 x2 = A2x2 + B2u2 S2: Y2 = C2x2

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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U2 = Y1 U1 S1 S2 Figure 1: Block diagram of the system S. Y2 where A1 A₁ = · | ₁ 12]), B₁ = [], C₁ = (2 1], [ 0 A₂ = -1, A2 -1 -2 B1 B₂ = 1, C₂ = 1. The two subsystems are cascaded forming an overall system S, as shown in Figure 1. (a) (b) (c) Denote X1 x = X2 Write down the state-space equation of the overall system S with input u₁, output y2, and state x. Verify reachability (controllability) and observability of the system S. system S. Calculate the transfer function from u₁ to y2 of the
Transcribed Image Text:U2 = Y1 U1 S1 S2 Figure 1: Block diagram of the system S. Y2 where A1 A₁ = · | ₁ 12]), B₁ = [], C₁ = (2 1], [ 0 A₂ = -1, A2 -1 -2 B1 B₂ = 1, C₂ = 1. The two subsystems are cascaded forming an overall system S, as shown in Figure 1. (a) (b) (c) Denote X1 x = X2 Write down the state-space equation of the overall system S with input u₁, output y2, and state x. Verify reachability (controllability) and observability of the system S. system S. Calculate the transfer function from u₁ to y2 of the
6. Consider the following two single-input single-output sub- systems: S₁₁: x₁ = A1x1 + B₁u1 Y₁ = C₁x1 x2 = A2x2 + B2u2 S2: Y2 = C2x2
Transcribed Image Text:6. Consider the following two single-input single-output sub- systems: S₁₁: x₁ = A1x1 + B₁u1 Y₁ = C₁x1 x2 = A2x2 + B2u2 S2: Y2 = C2x2
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