Journal
JOURNAL OF VIBRATION AND CONTROL
Volume 17, Issue 2, Pages 163-173Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546309352826
Keywords
Adaptive fuzzy sliding mode control; H infinity; Lyapunov direct method
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Funding
- National Science Council of the Republic of China, Taiwan [NSC 98-2221-E-366-006-MY2, NSC 96-2628-E-366-004-MY2]
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In this paper, the stability analysis of a genetic algorithm-based (GA-based) H-infinity adaptive fuzzy sliding model controller (AFSMC) for a nonlinear system is discussed. First, a nonlinear plant is well-approximated and described with a reference model and a fuzzy model, both involving fuzzy logic control (FLC) rules. Then, FLC rules and the consequent parameter are decided on via a genetic algorithm. After this, we guarantee a new H-infinity tracking performance inequality for the control system. The H-infinity tracking problem is characterized to solve an eigenvalue problem. Next, an AFSMC is proposed to stabilize the system so as to achieve good H-infinity control performance. Lyapunov's direct method can be used to ensure the stability of the nonlinear system. It is shown that the stability analysis can reduce nonlinear systems into a linear matrix inequality problem. Finally, a numerical simulation is provided to demonstrate the control methodology.
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