Question: DP13.1 A temperature system, as shown in Figure P13.10, has a process transfer function Gp($)= 0.8 3s+1 and a sampling period T of 0.5 s.

DP13.1 A temperature system, as shown in Figure P13.10, has a process transfer function

Gp($)= 0.8 3s+1 and a sampling period T of 0.5 s. (a)

Gp($)= 0.8 3s+1 and a sampling period T of 0.5 s. (a) Using D(z) K, select a gain K so that the system is stable. (b) The system may be slow and overdamped, and thus we seek to design a phase-lead compensator. Determine a suitable compensator Ge(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).

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