A fuzzy adaptive variable-structure control scheme for uncertain chaotic MIMO systems with sector nonlinearities and dead-zones

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

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

In this paper, a fuzzy adaptive variable-structure controller is investigated for a class of uncertain multi-input multi-output (MIMO) chaotic systems with both sector nonlinearities and dead-zones. A suitable adaptive fuzzy system is used to reasonably approximate the uncertain functions. A Lyapunov approach is employed to derive the parameter adaptation laws and prove the boundedness of all signals of the closed-loop system as well as the exponential convergence of the closed-loop errors to an adjustable region. The proposed controller can be applied to the systems with or without sector nonlinearities and/or dead-zones in the input. The effectiveness of the proposed fuzzy adaptive controller is illustrated throughout simulation results.

Mots clés: Adaptive control; Fuzzy system; Variable-structure control; MIMO chaotic systems; Sector nonlinearities; Dead-zone

Domaines: Automatique; Automatique / Robotique

Abdesselem Boulkroune, Mohammed M'Saad. A fuzzy adaptive variable-structure control scheme for uncertain chaotic MIMO systems with sector nonlinearities and dead-zones. Expert Systems with Applications, 2011, 38 (12), pp.Pages 14744-14750. ⟨10.1016/j.eswa.2011.05.006⟩. ⟨hal-01060343⟩