Non-quadratic Stabilization for T-S Systems with Nonlinear Consequent Parts

Hoda Moodi (1) , Jimmy Lauber (2) , Thierry-Marie Guerra (2) , Mohammad Farrokhi (1)

1 IUST - Iran University of Science and Technology [Tehran]
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

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

Mots clés: "Fuzzy Sugeno"; "Non-Quadratic Lyaponuv"; "Nonlinear Subsystem"

Domaines: Automatique / Robotique

Hoda Moodi, Jimmy Lauber, Thierry-Marie Guerra, Mohammad Farrokhi. Non-quadratic Stabilization for T-S Systems with Nonlinear Consequent Parts. 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Jul 2014, Montpellier, France. ⟨10.1007/978-3-319-08852-5_54⟩. ⟨hal-03469198⟩