Consider the system of Fig. P7.2-5 with T = 1 s . Let the digital controller be

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Consider the system of Fig. P7.2-5 with T = 1 s . Let the digital controller be a variable gain K such that D(z) = K . Hence m(kT) = Ke(kT).

(a) Write the closed-loop system characteristic equation.

(b) Determine the range of K for which the system is stable.

(c) Suppose that K is set to the lower limit of the range in part (b) such that the system is marginally stable. Find the natural-response term that illustrates the marginal stability.

(d) Repeat part (c) for the upper limit of the range of K.

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Digital Control System Analysis And Design

ISBN: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

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Question Posted: Jan 22, 2024 03:00 AM

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Consider the system of Fig. P7.2-5 with T = 1 s . Let the digital controller be

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R(s) E(s) T= 1 s D(z) 1-8-Ts S M(s) 1 s+1 C(s)

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SOLUTION a The closedloop characteristic equation is z KGz z K1z1 0 b For stability the charac...View the full answer

Digital Control System Analysis And Design

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