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

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Given the first-order plant described by with 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).

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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 23, 2024 10:02 AM

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

Question:

with the cost function x(k+ 1) = 0.6x(k) + 0.5u(k) 3 J3 = [2x(k) + 7u(k)] k = 0

Step by Step Answer:

a A09 B 01 Q1 R 5 N 3 Sx35u 3 as du 3 SSF 09x2 01u2 ...View the full answer

Digital Control System Analysis And Design

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