MATHEMATICS

On stabilizing controller design for fuzzy system with uncertainty

V. A. Goryushkin

MATI» - Russian State University of Aviation Technology, 121552, Orshanskaya st., 3, Moscow, Russia

Abstract: This paper addresses fuzzy control systems, asymptotically stability analysis and fuzzy controllers design. A stabilizing control design method for nonlinear dynamical systems with uncertainties based on Takagi-Sugeno fuzzy models is discussed. The paper proposed asymptotic stability su?cient conditions for fuzzy control systems via Lyapunovs second method.

Keywords: nonlinear fuzzy control systems. Takagi-Sugeno fuzzy models, fuzzy systems with uncertainties, fuzzy Lyapunov function, stability, fuzzy controller, linear matrix inequalities.

UDC: 519.71

MSC: 93C42

Received: 05.11.2011

DOI: 10.18454/2079-6641-2011-3-2-5-11

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