Given the first-order plant described by (a) Calculate the feedback gains required to minimize the cost function,

Question:

Given the first-order plant described bywith the cost function x(k+ 1) = 0.6x(k) + 0.5u(k) 3 J3 = [2x(k) + 7u(k)] k = 0

(a) Calculate the feedback gains required to minimize the cost function, using the partial-differentiation procedure of Section 11.3.

(b) Repeat part (a) using the difference-equation approach of Section 11.4.

(c) Find the maximum magnitude of u(k) as a function of x(0).

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: