For the thermal test chamber of Problems 4 3 9 and 4 6 1, let T 0 6 s Suppose that a proportional integral (PI) digital controller with the transfer function Problems 4 3 9 Problems 4 6 1 Generally, a temperature control system is modeled more accurately if an ideal time delay is added to the plant...

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For the thermal test chamber of Problems 4.3-9 and 4.6-1, let T = 0.6 s . Suppose

Question:

For the thermal test chamber of Problems 4.3-9 and 4.6-1, let T = 0.6 s . Suppose that a proportional-integral (PI) digital controller with the transfer function D(z) = 1.2 + 0--1 0.1z is inserted between the sampler and the zero-order hold in Fig. P4.3-9. (a) With and

Problems 4.3-9

Problems 4.6-1

Generally, a temperature control system is modeled more accurately if an ideal time delay is added to the plant. Suppose that in the thermal test chamber of Problem 4.3-9, the plant transfer function is given by C(s) 2-25 E(s) s + 0.5 Gp(s) Hence the plant has a 2-s time delay before its response to an input. For this (c) Solve for c(t) with no delay, using the Laplace transform and the plant input m(t). (d) Find c(t) for the