Given the discrete system show that the optimal gains which minimize J N are unchanged if the

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Given the discrete system with the cost function x(k+ 1) = Ax(k) + Bu(k) JN = = x(k)Qx(k) + u(k)Ru(k) k = 0

show that the optimal gains which minimize J_N are unchanged if the elements both in Q and in R are multiplied by the positive scalar β.

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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 discrete system show that the optimal gains which minimize J N are unchanged if the

Question:

with the cost function x(k+1) = Ax(k) + Bu(k) JN = = x(k)Qx(k) + u(k)Ru(k) k = 0

Step by Step Answer:

N Jy xkQxk uk Ruk k0 If each element of Q an...View the full answer

Digital Control System Analysis And Design

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