A Fuzzy Lyapunov LMI Criterion to a Chaotic System

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Title:	A Fuzzy Lyapunov LMI Criterion to a Chaotic System
Authors:	K.Yeh C.W.Chen C.Y.Chen D.C.Lo P.Y.Chung
Keywords:	Fuzzy Lyapunov method linear matrix inequality
Date:	2012
Issue Date:	2012-09-26T01:26:14Z (UTC)
Abstract:	In terms of the Fuzzy Lyapunov method, this work proposes stability conditions for fuzzy logic control (FLC). Their application for chaotic systems can be approximated by the Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined as a fuzzy blending of quadratic Lyapunov functions. External forces or disturbances are not considered in the controlled systems. In the design controller procedure, a parallel distributed compensation (PDC)scheme is utilized to construct a global FLC by blending all linear local state feedback controllers. The stability criteria are found not only for fuzzy modeling but also for a real chaotic system. Furthermore, this controller design problem can be reduced to a linear matrix inequality (LMI) problem by use of the Schur Complements. Efficient interior-point algorithms are now available in Matlab toolbox to solve this type of problem.
Appears in Collections:	[Department of Information Management] Papers

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