H2H Robust Static Output Feedback Control Design via Mixed Genetic Algorithm and Linear Matrix Inequalities

[+] Author and Article Information
Chein-Chung Sun

Department of Electrical Engineering,  National Central University, Chung-li 320, Taiwan, Republic of China

Hung-Yuan Chung

Department of Electrical Engineering,  National Central University, Chung-li 320, Taiwan, Republic of Chinahychung@ee.ncu.edu.tw

Wen-Jer Chang1

Department of Marine Engineering,  National Taiwan Ocean University, Keelung 202, Taiwan, Republic of Chinawjchang@mail.ntou.edu.tw


To whom correspondence should be addressed.

J. Dyn. Sys., Meas., Control 127(4), 715-722 (Nov 15, 2004) (8 pages) doi:10.1115/1.2098967 History: Received September 25, 2003; Revised November 15, 2004

This paper is concerned with the synthesis of a mixed H2H robust static output feedback with a bounded control bandwidth for continuous-time uncertainty systems. To this end, genetic algorithms and a linear matrix inequality solver are employed to regulate the static output feedback gains and to examine the Lyapunov stability conditions, respectively. The fitness function of this paper, which is called a hierarchical fitness function structure (HFFS), is able to deal with the stability conditions and the performance constraints in turn. This HFFS not only saves computing time but can also identify the infeasible stability condition. Designers can use the proposed idea to deal with many complex output feedback control problems. It also limits elaborate mathematical derivations and extra constraints.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Sketch of the proposed idea

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Figure 2

Relationship between the fitness value and the performance constraints

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Figure 3

Structure of the GA/LMI algorithm

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Figure 4

Distribution of λ(A¯N) and λ(A¯k) for ∣gij∣⩽1.5

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Figure 5

Distribution of λ(A¯N) and λ(A¯k) for ∣gij∣⩽5



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