Do c i) and ii) In simple cases the root locus diagram (the paths take by the closed-loop poles thena parameter, e.g., the gain, is changed) can be found exactly by algebra. In this way(i.e., not using the 'rules') draw the root locus, for K increasing from zero, for thefollowing open-loop transfer functions:K(a) G(s) =K(c) G(s)s+1%3Ds2(b) G(s) =Ks(s+ 1)(d) G(s)(s+1)1Check your answers using MATLAB. For example, the commands>> num=[1;>> den=[1 0 0];>> sys=tf(num, den)>> rlocus (sys)will draw the root locus for (c).Using the standard rules, draw the approximate root-locus diagrams for the systemsin question Q1.Using the standard rules, draw the root locus diagrams (for increasing K) for thefollowing open-loop transfer functions. Also comment upon the stability of the sys-tem.K(a) G(s) =s2(s + a)< did up to hereK(b) G(s) =(s +1)(s+ 2)(s + 3)K(1+ aTs)s2(1+ sT)(c) G(s) =with T = 1, for(i) a = 5, and(ii) a = 0.2.Check your answers using MATLAB.You may find the following useful: The polynomial 3? + 12r + 11 = 0 has thesolutions r1 = -2.58 and x2 = -1.42.

Answered: Image /qna-images/answer/cbca2a06-5000-48b0-92fc-d006ae71f803.jpg

did up to he Using the standard rules, draw the root locus diagrams (for increasing K) for the following open-loop transfer functions. Also comment upon the stability of the sys- tem. K (a) G(s) = %3D s2(s + a) & did up to hew K (b) G(s) = %3D (s+1)(s+2)(s +3) K(1+ aTs) s2(1+ sT) (c) G(s) with T = 1, for %3D %3D 7. (i) a = 5, and (ii) a = 0.2.

did up to he Using the standard rules, draw the root locus diagrams (for increasing K) for the following open-loop transfer functions. Also comment upon the stability of the sys- tem. K (a) G(s) = %3D s2(s + a) & did up to hew K (b) G(s) = %3D (s+1)(s+2)(s +3) K(1+ aTs) s2(1+ sT) (c) G(s) with T = 1, for %3D %3D 7. (i) a = 5, and (ii) a = 0.2.

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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