Give a first-order time-invariant discrete system with a cost function N JN = Qx(k) + Ru(k) k

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Give a first-order time-invariant discrete system with a cost function N JN = Qx(k) + Ru(k) k = 0 Show that the optimal gains are a function of only the ratio Q R and not of Q and

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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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Give a first-order time-invariant discrete system with a cost function N JN = Qx(k) + Ru(k) k

Question:

N JN = Qx(k) + Ru(k) k = 0 Show that the optimal gains are a function of only the ratio Q R and not of Q and R singly. =

Step by Step Answer:

In order to show that the optimal gains are a function of only the ratio alpha fracQR for a firstorder timeinvariant discrete system lets first define ...View the full answer

Digital Control System Analysis And Design

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