Fuzzy L1 adaptive controller for chaos synchronization of uncertain fractional-order chaotic systems with input nonlinearities

Author:

Boulham Ihab Abderraouf1ORCID,Boubakir Ahsene1,Labiod Salim1

Affiliation:

1. LAJ, Faculty of Science and Technology, University of Jijel, Algeria

Abstract

This research work proposes a fuzzy fractional-order [Formula: see text] adaptive controller to deal with projective chaos synchronization problems for a general class of uncertain fractional-order chaotic systems subject to unknown input nonlinearities (dead-zone and sector nonlinearities). The suggested control architecture includes a fractional-order sliding surface, a fuzzy system, and an [Formula: see text] adaptive controller. The latter consists of a predictor, a control law, and its adaptive mechanism. The fuzzy system takes the role of an online estimator for system nonlinear uncertain functions which helps in the handling of the input nonlinearities. A designed low-pass filter is placed within the input channel of the [Formula: see text] adaptive controller to ensure that the control loop is decoupled from the estimation loop, which preserves response robustness along with improving transient performances. Finally, the closed-loop stability is rigorously proved, and the acquired results are demonstrated by two simulation examples as well as a comparative study.

Funder

Direction Générale de la Recherche Scientifique et du Développement Technologique

Publisher

SAGE Publications

Subject

Instrumentation

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