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1) Sketch the root locus plot using MATLAB (please show thecode)2) Find the range of k for stability using the plot in (1)3) Use Routh criterion to confirm the result of (2)4) Find the range of k for Mp < 20%5) Find the range of k for tr < 0.96) Use MATLAB to plot the step response of the closed loopsystem for values of K = 5, 10, and 20. (please show thecode)7) Find the overshoot and the rise time for each of the threestep responses by examining your plot.8) Are the plots consistent with your c

1) Sketch the root locus plot using MATLAB (please show thecode)2…

SOLVED: Q1. (30 pts) For the unity-feedback control system given below, the root locus of the system is plotted using Matlab for positive K.Controller Gc(s):Process G(s):G(s) = K / (s(s 10))Determine the closed-loop transfer function and the characteristic equation of this system in terms of K and s. Note that K > 0 and a > 0.Let r1, r2, r3, r4 be the poles of this feedback system. It is desired to have 6=n and Rer < 0 for all r. Determine the value of K and a that satisfy this relationship. Wha

SOLVED: Q1. (30 pts) For the unity-feedback control system given bel…

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