Robust stabilization of nonlinear systems based on a switched fuzzy control law
- Authors
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Kevin Guelton
CReSTIC EA 3804, Universite de Reims Champagne Ardenne Moulin de la Housse, 51687 Reims Cedex, France
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Dalel Jabri
CReSTIC EA 3804, Universite de Reims Champagne Ardenne Moulin de la Housse, 51687 Reims Cedex, France
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Noureddine Manamanni
CReSTIC EA 3804, Universite de Reims Champagne Ardenne Moulin de la Housse, 51687 Reims Cedex, France
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Abdelhafidh Jaadari
LAMIH UMR CNRS 8201, Universite de Valenciennes et du Hainaut-Cambresis Le mont Houy, 59313 Valenciennes, France
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Cuong D. Chinh
CReSTIC EA 3804, Universite de Reims Champagne Ardenne Moulin de la Housse, 51687 Reims Cedex, France
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- Abstract
- This paper deals with robust stabilization of nonlinear systems represented by uncertain and disturbed switched Takagi-Sugeno fuzzy systems. First, stabilization of uncertain switched fuzzy systems is considered without external disturbances. A stabilization criterion is proposed as sufficient Linear Matrix Inequality (LMI) conditions. These ones allow designing a switched parallel distributed compensation fuzzy control law based on a candidate switched Lyapunov function. Then, an extension to systems subject to external disturbances is provided based on a H-infinity criterion. To illustrate the effectiveness of the proposed stabilization criterion and controller design approaches, a designed numerical example is studied and some simulations are provided.
- References
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- Published
- 2012-06-29
- Issue
- Vol. 14 No. 2 (2012)
- Section
- Articles