1 answer

QI: For the following closed loop system below: RCS — -*H 00 For each of the...

Question:

QI: For the following closed loop system below: RCS — -*H 00 For each of the following open loop transfer function Ls): D) L(

QI: For the following closed loop system below: RCS — -*H 00 For each of the following open loop transfer function Ls): D) L(S) 842)(5) I L ) - +1 (5+1)(5+5)(5+) III) L(S) - 3421(+3) a) Draw the root locus and find the range of k for which the closed-loop system is stable. b) Find the value of k so that the system is marginally stable, and for that value, find the oscillation frequency of the time response. c) Find the steady state errors for a unit step input R(S) = when k = [1 and 10) d) Use the M-file to plot the root locus and check your solutions in MATLAB.

Answers

L8) D. LGS- Streti Kosty usne (8+2)(85) P = open loop poles = 3 s=0-2, -5 Z= open loop zuo = 1 8=- No. of brancher Terminalin28 axis interrution with imaginary eqo &18+78 110) + kot ko 834784 10+k) 8+K=0 83 i ļotk $ 70+7K-K 0 70+66 yo k2009 Zotokyo 6Um <C8+278+5)+(8+!). K - KISH) 8(6+2)(8+5) + K (861) S so les = 1 Kalo ess-0.1 R 100 Cu) RUS Klay akstursts)(8+7) It KLSI 1+P-z 1 CH = look (8+1(8+5)(8+7) P=3 ,2=0 P7 8=-1, 51-7 P-z=3 24949180= 2x0 +1x 180 = 66 0,= (2x141] 180 = 180 O, - SAKAF ) X 1

The solution with steps has been given.

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