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

Question:

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.

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

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Digital Control System Analysis And Design

ISBN: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

Question Posted: