A continuous controller is given by the transfer function M(s) 100 C(s) Es) (s + 1)(+10) This controller must be impleme

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A Continuous Controller Is Given By The Transfer Function M S 100 C S Es S 1 10 This Controller Must Be Impleme 1 (43.05 KiB) Viewed 15 times

A continuous controller is given by the transfer function M(s) 100 C(s) Es) (s + 1)(+10) This controller must be implemented in discrete-time with the sampling time T = 1 second as shown in the figure below, where the discrete controller is denoted by C(z). yk) x(k) (t) X(t) -X CE) ZOH (a) Using hand calculations, determine C(z) using the backward difference method (b) Write a MATLAB script that verifies the results found in (a) (c) When e(t) = cos(ft), find e(k) for 0 <k <3. Make a sketch of e(t) and e(k) (d) What is your opinion about using the stated sampling time T = 1 second ? (e) Explain in your own words (maximum 200) what a zero-order hold (ZOH) is used for in a standard closed- loop system with a discrete-time controller