Non-quadratic Stabilization for T-S Systems with Nonlinear Consequent Parts
Résumé
This paper deals with nonlinear systems, which are modeled by T-S fuzzy model containing nonlinear functions in the consequent part of the fuzzy IF-THEN rules. This will allow modeling a wider class of systems with smaller modeling errors. The consequent part of each rule is assumed to contain a linear part plus a sector-bounded nonlinear term. The proposed controller guarantees exponential convergence of states by utilizing a new non-quadratic Lyapunov function for Lyapunov stability analysis and Linear Matrix Inequality (LMI) formulation. Moreover, new relaxation methods are introduced for further reduction of conservativeness and maximizing the region of attractions. Numerical examples illustrate effectiveness of the proposed method