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Robust feedback control for T-S stochastic fuzzy hyperbolic system

This paper concerns the problems of Takagi-Sugeno (T-S) stochastic fuzzy hyperbolic control for nonlinear systems with or without parameter uncertainties. The state feedback controller is designed by parallel distributed compensation (PDC) method, and some sufficient conditions are formulated via linear matrix inequalities (LMIs) such that the system is asymptotically stable. The above approach is also extended to the output feedback controller of T-S fuzzy hyperbolic system with parameter uncertainties, and the desired controller can be easily obtained by using the Matlab LMI toolbox. The main advantage of the proposed model is that it can achieve small control amplitude via “soft” constraint approach. Finally, two simulation examples are utilized to demonstrate the validity and effectiveness of the proposed approaches.