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Question 1. Given the Unit Feedback system shown below with G(s) = K/(s^3 + 16 s^2 +60s), and considering K=1000, generate the Routh Table and give the values you obtain in the first column of the Routh Table. From these values, indicate if the system is stable and explain. R(s) + G(s) C(s)

Question 1. Given the Unit Feedback system shown below with G(s) = K/(s^3 + 16 s^2 +60s), and considering K=1000, generate the Routh Table and give the values you obtain in the first column of the Routh Table. From these values, indicate if the system is stable and explain. R(s) + G(s) C(s)

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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### Discussion 3 (CH 6) **Question 1:** Given the Unit Feedback system shown below with G(s) = K/(s^3 + 16 s^2 + 60s ), and considering K = 1000, generate the Routh Table and give the values you obtain in the first column of the Routh Table. From these values, indicate if the system is stable and explain. **System Diagram:** The system diagram shows a unit feedback system where: - \( R(s) \) is the reference input. - The summing point (☺) takes \( R(s) \) and subtracts the feedback signal. - \( G(s) \) is the transfer function block, which is represented as \( K/(s^3 + 16s^2 + 60s) \). - The output is \( C(s) \). ![System Diagram](path_to_image) **Question 2:** Repeat question 1) but consider K = 500. **Question 3:** For the system in question 1), use the Routh-Hurwitz criterion to find the range of K for which the CL system is stable. This content is designed to help students understand the stability analysis of control systems using the Routh-Hurwitz criterion and Routh table. --- *Note: The image of the system diagram includes a summing block, a transfer function block, and a feedback loop.*
Transcribed Image Text:### Discussion 3 (CH 6) **Question 1:** Given the Unit Feedback system shown below with G(s) = K/(s^3 + 16 s^2 + 60s ), and considering K = 1000, generate the Routh Table and give the values you obtain in the first column of the Routh Table. From these values, indicate if the system is stable and explain. **System Diagram:** The system diagram shows a unit feedback system where: - \( R(s) \) is the reference input. - The summing point (☺) takes \( R(s) \) and subtracts the feedback signal. - \( G(s) \) is the transfer function block, which is represented as \( K/(s^3 + 16s^2 + 60s) \). - The output is \( C(s) \). ![System Diagram](path_to_image) **Question 2:** Repeat question 1) but consider K = 500. **Question 3:** For the system in question 1), use the Routh-Hurwitz criterion to find the range of K for which the CL system is stable. This content is designed to help students understand the stability analysis of control systems using the Routh-Hurwitz criterion and Routh table. --- *Note: The image of the system diagram includes a summing block, a transfer function block, and a feedback loop.*
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