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* Plot Root Locus for the system (5+2) (5+2) te G(s)H(s) = S(S+5)(S+10)

* Plot Root Locus for the system (5+2) (5+2) te G(s)H(s) = S(S+5)(S+10)

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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**Plot a Root Locus for the System** Given the transfer function: \[ G(s)H(s) = \frac{k}{s(s + 5)(s + 10)} \] **Explanation:** In control systems engineering, the root locus plot is an essential technique for analyzing the stability of a system as a parameter (typically gain, \( k \)) is varied. The provided transfer function suggests a system with poles at \( s = 0 \), \( s = -5 \), and \( s = -10 \). To plot the root locus: 1. Identify and plot the poles on the complex plane. 2. Determine the segments on the real axis where the root locus exists. 3. Determine the asymptotes as \( k \) approaches infinity. 4. Calculate the angle of departure and arrival (if applicable). 5. Plot the root locus branches as \( k \) varies from 0 to ∞. **Note:** The exact numerical plotting will require computational tools or further manual calculations using control system techniques.
Transcribed Image Text:**Plot a Root Locus for the System** Given the transfer function: \[ G(s)H(s) = \frac{k}{s(s + 5)(s + 10)} \] **Explanation:** In control systems engineering, the root locus plot is an essential technique for analyzing the stability of a system as a parameter (typically gain, \( k \)) is varied. The provided transfer function suggests a system with poles at \( s = 0 \), \( s = -5 \), and \( s = -10 \). To plot the root locus: 1. Identify and plot the poles on the complex plane. 2. Determine the segments on the real axis where the root locus exists. 3. Determine the asymptotes as \( k \) approaches infinity. 4. Calculate the angle of departure and arrival (if applicable). 5. Plot the root locus branches as \( k \) varies from 0 to ∞. **Note:** The exact numerical plotting will require computational tools or further manual calculations using control system techniques.
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