eſk) K m(k) Z A discrete-time controller with the input eſk) and the output m(k) is represented by the block diagram sho

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Esk K M K Z A Discrete Time Controller With The Input Esk And The Output M K Is Represented By The Block Diagram Sho 1 (49.01 KiB) Viewed 36 times

eſk) K m(k) Z A discrete-time controller with the input eſk) and the output m(k) is represented by the block diagram shown above. K is a positive constant. (a) Find the discrete transfer function H(z) = M(z)/E(z) (b) List all poles and zeros for H(2) and comment on the stability (c) Find the difference equation for m(k) and determine its order (d) For the case where K = V5 and sampling time T = 0.7 seconds, write a MATLAB script that can plot the controller output m(k) for 0 <k < 4 when the input is (3-ki 0 <k <3 e(k)= 0, otherwise Note: You don't have to show the plot - just the script. (e) Is there any risk that this controller can suffer from integrator wind-up if the controller is used in a closed- loop application with actuator limits?