4.2. Example 2Given the following feedback control system with a positive varying parameterK.5KR-(K+1)s² +(1+5K)s+Ka) Prove that the closed-loop characteristic equation can be written asA(s) = 1+K(s + 2)(s +3)= 0s(s +1)b) Find the angles of the asymptotes and the centroid, if any.c) Find the break points, if any.d) For what range of K is the closed-loop system stable? Find the inter-section points of the root locus with jw-axis, if any.e) Sketch the root locus.

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Given the following feedback control system with a positive varying parameter K. 5K R- Y (K+1)s² +(1+5K)s+K a) Prove that the closed-loop characteristic equation can be written as K(s + 2)(s+3) s(s+1) A(s) = 1+ b) Find the angles of the asymptotes and the centroid, if any. c) Find the break points, if any. d) For what range of K is the closed-loop system stable? Find the inter- section points of the root locus with jw-axis, if any. e) Sketch the root locus.

Given the following feedback control system with a positive varying parameter K. 5K R- Y (K+1)s² +(1+5K)s+K a) Prove that the closed-loop characteristic equation can be written as K(s + 2)(s+3) s(s+1) A(s) = 1+ b) Find the angles of the asymptotes and the centroid, if any. c) Find the break points, if any. d) For what range of K is the closed-loop system stable? Find the inter- section points of the root locus with jw-axis, if any. e) Sketch the root locus.

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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