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Example 1.16: Consider the following system 10 8-698-4- 0 0 1 ¹0 -2 -31 y=[100] determine the optimal feedback gain matrix k such that the following performance index is minimized: Where J = [™* (x² Qx + u² Ru)dt Q = [100 0 0 001 1 0 0 1 R = 0.01

Example 1.16: Consider the following system 10 8-698-4- 0 0 1 ¹0 -2 -31 y=[100] determine the optimal feedback gain matrix k such that the following performance index is minimized: Where J = [™* (x² Qx + u² Ru)dt Q = [100 0 0 001 1 0 0 1 R = 0.01

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Example 1.16: Consider the following system 8-6 98-4- 10 0 0 Lo -2 -31 1 Where y=[100]x2 determine the optimal feedback gain matrix k such that the following performance index is minimized: J = [™* (x² Qx + u² Ru) dt [100 0 01 1 0 0 1 Q = 0 0 น R = 0.01
Transcribed Image Text:Example 1.16: Consider the following system 8-6 98-4- 10 0 0 Lo -2 -31 1 Where y=[100]x2 determine the optimal feedback gain matrix k such that the following performance index is minimized: J = [™* (x² Qx + u² Ru) dt [100 0 01 1 0 0 1 Q = 0 0 น R = 0.01
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