Z-plane Root Locus: Consider controlling the system G(s) with a discrete controller (in the usual unity feedback configu

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Z Plane Root Locus Consider Controlling The System G S With A Discrete Controller In The Usual Unity Feedback Configu 1 (111.56 KiB) Viewed 43 times

Z-plane Root Locus: Consider controlling the system G(s) with a discrete controller (in the usual unity feedback configuration) with a sample time of AT = 0.2sec: 1 G(s) = 1 s2 +şs +1 + that a. K(2) = R(z+a) Use root locus techniques to design a compensator of the form that will yield closed loop roots in the z-plane that correspond to z+b two poles at s =-1. What is your K(z)? = b. What is the DC gain of your closed loop system (work in the Z-domain)? C. Calculate the first three terms of the step response of your closed loop system. Do this by hand (i.e.: use long division), then use MATLAB's dstep to plot the step response as a check.