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1. (a) L(z) K/(z - 0.75z +0.25) in a unity feedback system. Use MATLAB to plot the z-domain root locus and find the critical gain

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1. (a) L(z) K/(z - 0.75z +0.25) in a unity feedback system. Use MATLAB to plot the z-domain root locus and find the critical gain value. (b) For the system described in part (a), set K 0.4 and then use MATLAB to plot the unit-step response of the closed-loop system from 0 to 30 seconds. Assume T-1 second. (c) What are the values of the closed-loop poles for K-0.4? euwserTl second.syst oo 30

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