An optimal T-S model for the estimation and identification of nonlinear functions
WSEAS Transactions on Systems and Control
New optimal approach for the identification of Takagi-Sugeno fuzzy model
CONTROL'08 Proceedings of the 4th WSEAS/IASME international conference on Dynamical systems and control
Static output feedback H∞ control of a class of nonlinear discrete-time systems
Fuzzy Sets and Systems
LMI-based fuzzy control for a class of time-delay discrete fuzzy bilinear system
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
LMI-based H∞state-feedback control for T-S time-delay discrete fuzzy bilinear system
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Switching fuzzy dynamic output feedback H∞ control for nonlinear systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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This paper proposes a fuzzy bilinear model for a class of nonlinear systems and a fuzzy controller to stabilize such systems. By examination of a modeling problem, we describe how to transform a nonlinear system into a bilinear one via Taylor's series expansion and then we adopt the Takagi-Sugeno (T-S) fuzzy modeling technique to construct a fuzzy bilinear model. For controller design, the parallel distributed compensation (PDC) method is utilized to stabilize the fuzzy bilinear system (FBS), and some sufficient conditions are derived to guarantee the stability of the overall fuzzy control system via linear matrix inequalities (LMIs). Moreover, we propound some sufficient conditions for robust stabilization of the FBS with parametric uncertainties. Finally, a numerical example and the Van de Vusse model are utilized to demonstrate the validity and effectiveness of the proposed FBS.