Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities

Abdesselem Boulkroune (1) , Mohammed M'Saad (2) , Mondher Farza (2)

1 UMSBJ - Université Mohammed Seddik Benyahia [Jijel] | University of Jijel
2 Equipe Automatique - Laboratoire GREYC - UMR6072

In this paper, an adaptive fuzzy variable-structure controller is investigated for a class of uncertain multi-input multi-output (MIMO) nonlinear time-delay systems with both sector nonlinearities and dead-zones. A decomposition property of the control-gain matrix is fully exploited in the controller design and the stability analysis. The unknown time-varying delay uncertainties are compensated for using an appropriate Lyapunov-Krasovskii functional. The boundedness of all signals of the closed-loop system as well as the exponential convergence of the underlying tracking errors to an adjustable region are established. The effectiveness of the proposed fuzzy adaptive controller is illustrated throughout simulation results.

Mots clés: Adaptive control; Variable-structure control; Fuzzy system; MIMO nonlinear systems; Time-delay; Sector nonlinearity; Dead-zone

Domaines: Automatique; Automatique / Robotique

Abdesselem Boulkroune, Mohammed M'Saad, Mondher Farza. Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities. Fuzzy Sets and Systems, 2011, 164 (1), pp.Pages 45-65. ⟨10.1016/j.fss.2010.09.001⟩. ⟨hal-01060374⟩