Question: A temperature system has a process transfer function and a sampling period T of 0.5 second. (a) Using D(z) = K, select a gain K

A temperature system has a process transfer function

and a sampling period T of 0.5 second.
(a) Using D(z) = K, select a gain K so that the system is stable,
(b) The system may be slow and over damped, and thus we seek to design a lead network using the method of Section 10.5. Determine a suitable controller Gc(s) and then calculate D(z). (c) Verify the design obtained in part (b) by plotting the step response of the system for the selected D(z).

0.8 Gs)3s1

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