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Draw a root locus diagram for the following system. Compute the values for any breakaway ints, departure angles, asymptotes, etc, and indicate them on your plot. C(s) K s2 + 28 + 4 +2

Draw a root locus diagram for the following system. Compute the values for any breakaway ints, departure angles, asymptotes, etc, and indicate them on your plot. C(s) K s2 + 28 + 4 +2

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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**Problem 5:** **Objective:** Draw a root locus diagram for the given control system. Compute the values for any breakaway points, departure angles, asymptotes, etc., and indicate them on your plot. **System Description:** The system is represented by a block diagram containing two main components connected in series with a feedback loop: 1. **Forward Path Transfer Function:** - \( \frac{K}{s^2 + 2s + 4} \) 2. **Feedback Path Transfer Function:** - \( \frac{s + 4}{s + 2} \) The input to the system is denoted as \( R(s) \) and the output as \( C(s) \). **Instructions:** - Analyze the system and construct a root locus plot. - Identify and compute any breakaway points, angles of departure, and asymptotes. - Mark these points and characteristics clearly on your root locus plot for better understanding.
Transcribed Image Text:**Problem 5:** **Objective:** Draw a root locus diagram for the given control system. Compute the values for any breakaway points, departure angles, asymptotes, etc., and indicate them on your plot. **System Description:** The system is represented by a block diagram containing two main components connected in series with a feedback loop: 1. **Forward Path Transfer Function:** - \( \frac{K}{s^2 + 2s + 4} \) 2. **Feedback Path Transfer Function:** - \( \frac{s + 4}{s + 2} \) The input to the system is denoted as \( R(s) \) and the output as \( C(s) \). **Instructions:** - Analyze the system and construct a root locus plot. - Identify and compute any breakaway points, angles of departure, and asymptotes. - Mark these points and characteristics clearly on your root locus plot for better understanding.
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