Adaptive T-S fuzzy synchronization for uncertain fractional-order chaotic systems with input saturation and disturbance

Abstract

This paper proposes an adaptive Takagi-Sugeno (T-S) fuzzy control scheme to synchronize two uncertain fractional-order (FO) chaotic systems with input saturations and external disturbances. Under the FO Lyapunov criterion, a novel adaptive T-S FO controller with a simple architecture is developed. System constraints are handled by modeling a saturator as a fraction of unknown functions. Due to the presence of system uncertainties, FO adaptive laws are established to adjust controller parameters. The asymptotic convergence of tracking errors and the boundedness of all closed-loop signals can be ensured. Especially, the feedback control is achieved in T-S FO chaotic systems and the posed method avoids solving linear matrix inequalities, which relieves the calculation burden. The feasibility of the presented method is confirmed through numerical simulations.