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Q1:A: The characteristic equation of a feedback control system is S4 +35³ +12S² + (K-16)S + K = 0 Sketch the root locus plot for 0

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

Q1:A: The characteristic equation of a feedback control system is
S4 +35³ +12S² + (K-16)S + K = 0
Sketch the root locus plot for 0<K<∞ and show that the system is conditionally stable.
Determine the range of gain for which the system is stable.

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Step 1: State the given data.

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Step 2: Finding the angle of asymptotes.

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Step 3: Finding the centroid and root locus branches.

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Step 4: Finding the imaginary axis crossing points.

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Step 5: Finding the angle of departure at complex poles.

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Step 6: Finding the break points.

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Step 7: Sketching the root locus.

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Step 8: Finding the range of gain for closed loop system stability.

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