Linear Matrix Inequality Conditions of Nonlinear Systems by Genetic Algorithm-based H(infinity) Adaptive Fuzzy Sliding Mode Controller

NCUIR > Engineering College > Department of Civil Engineering > journal & Dissertation > Item 987654321/49824

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/49824

Title:	Linear Matrix Inequality Conditions of Nonlinear Systems by Genetic Algorithm-based H(infinity) Adaptive Fuzzy Sliding Mode Controller
Authors:	Chen,PC;Chen,CW;Chiang,WL
Contributors:	土木工程學系
Keywords:	CONTROL DESIGN;LMI APPROACH;FEEDBACK
Date:	2011
Issue Date:	2012-03-27 16:17:49 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	JOURNAL OF VIBRATION AND CONTROL
Appears in Collections:	[Department of Civil Engineering] journal & Dissertation

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