LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form

Authors:
Thierry Marie Guerra;Laurent Vermeiren
Affiliations:
LAMIH, UMR CNRS 8530, Le Mont Houy, 59313 Valenciennes Cedex 9, France;LAMIH, UMR CNRS 8530, Le Mont Houy, 59313 Valenciennes Cedex 9, France
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

This paper presents the stabilization analysis for a class of nonlinear systems that are represented by a Takagi and Sugeno (TS) discrete fuzzy model (Takagi and Sugeno IEEE Trans. Systems Man Cybern. 15(1)(1985)116). The main result given here concerns their stabilization using new control laws and new nonquadratic Lyapunov functions. New relaxed conditions and linear matrix inequality-based design are proposed that allow outperforming previous results found in the literature. Two examples are also provided to demonstrate the efficiency of the approaches.