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QUESTION 4 A unity feedback system has the characteristic equation shown below. Use the Routh- Hurwitz Stability Criterion. What is the range of K for stability? s + 75³ +20s² + (22+ K) s + 10K = 0 O400.48

QUESTION 4 A unity feedback system has the characteristic equation shown below. Use the Routh- Hurwitz Stability Criterion. What is the range of K for stability? s + 75³ +20s² + (22+ K) s + 10K = 0 O400.48

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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**Question 4** A unity feedback system has the characteristic equation shown below. Use the Routh–Hurwitz Stability Criterion. What is the range of \( K \) for stability? \[ s^4 + 7s^3 + 20s^2 + (22 + K)s + 10K = 0 \] Options: - ○ \(-400.48<K<6.48\) - ○ \(-400.48<K<118\) - ○ \(0<K<6.48\) - ○ \(0<K<118\) - ○ \(6.48<K<118\) - ○ none of the above For solving this problem, apply the Routh–Hurwitz Stability Criterion to determine the range of \( K \) that makes the system stable.
Transcribed Image Text:**Question 4** A unity feedback system has the characteristic equation shown below. Use the Routh–Hurwitz Stability Criterion. What is the range of \( K \) for stability? \[ s^4 + 7s^3 + 20s^2 + (22 + K)s + 10K = 0 \] Options: - ○ \(-400.48<K<6.48\) - ○ \(-400.48<K<118\) - ○ \(0<K<6.48\) - ○ \(0<K<118\) - ○ \(6.48<K<118\) - ○ none of the above For solving this problem, apply the Routh–Hurwitz Stability Criterion to determine the range of \( K \) that makes the system stable.
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