Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties

Authors:
Shaocheng Tong;Han-Hiong Li
Affiliations:
Department of Basic Mathematics, Liaoning Institute of Technology, Jin Zhou, Liaoning 121001, China;Department of Manufacturing Engineering and Management, City University, Hong Kong, China
Venue:
Fuzzy Sets and Systems - Modeling and control
Year:
2002

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Abstract

This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties and the state variables unavailable for measurement. The Takagi-Sugeno (T-S) fuzzy model system with parametric uncertainties is adopted for modeling the nonlinear system and establishing fuzzy state observer. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability and are formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed fuzzy controller and fuzzy observer design methodology is finally demonstrated through numerical simulations on an inverted pendulum system.