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Given the following open-loop system G(s): 20(s+2) s(s+4)(s+6) design a feedback controller u characteristic equation = -Kx, where K = [K1 K2 K3], to yield a desired s3+6482 +252s + 720 = 0 1. Find K₁, K₂, and K3 using pole placement method. 2. With the designed controller u = − -Kx, find the closed-loop system in state-space formulation 3. Find the transfer function of the closed-loop system with the designed controller u = -Kx

Given the following open-loop system G(s): 20(s+2) s(s+4)(s+6) design a feedback controller u characteristic equation = -Kx, where K = [K1 K2 K3], to yield a desired s3+6482 +252s + 720 = 0 1. Find K₁, K₂, and K3 using pole placement method. 2. With the designed controller u = − -Kx, find the closed-loop system in state-space formulation 3. Find the transfer function of the closed-loop system with the designed controller u = -Kx

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Given the following open-loop system G(s): 20(s+2) s(s+4)(s+6) design a feedback controller u characteristic equation = -Kx, where K = [K1 K2 K3], to yield a desired s3+6482 +252s + 720 = 0 1. Find K₁, K₂, and K3 using pole placement method. 2. With the designed controller u = − -Kx, find the closed-loop system in state-space formulation 3. Find the transfer function of the closed-loop system with the designed controller u = -Kx
Transcribed Image Text:Given the following open-loop system G(s): 20(s+2) s(s+4)(s+6) design a feedback controller u characteristic equation = -Kx, where K = [K1 K2 K3], to yield a desired s3+6482 +252s + 720 = 0 1. Find K₁, K₂, and K3 using pole placement method. 2. With the designed controller u = − -Kx, find the closed-loop system in state-space formulation 3. Find the transfer function of the closed-loop system with the designed controller u = -Kx
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