Intelligent fuzzy controller for chaos synchronization of uncertain fractional-order chaotic systems with input nonlinearities

• Published in: International journal of general systems Vol. 48; no. 3; pp. 211 - 234
• Main Authors: Boubellouta, A., Zouari, F., Boulkroune, A.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.04.2019; Taylor & Francis LLC
• Subjects: Adaptive control; Chaos theory; Computer simulation; Control stability; Control theory; fractional-order variable structure control; Fuzzy control; Fuzzy systems; Generalized projective synchronization; incommensurate fractional-order chaotic systems; Synchronism
• ISSN: 0308-1079; 1563-5104
• DOI: 10.1080/03081079.2019.1566231

In this research work, a novel fuzzy adaptive control is proposed to achieve a projective synchronization for a class of fractional-order chaotic systems with input nonlinearities (dead-zone together with sector nonlinearities). These master-slave systems under consideration are supposed to be with distinct models, different fractional-orders, unknown models, and dynamic external disturbances. The proposed control law consists of two main terms, namely: a fuzzy adaptive control term for appropriately approximating the uncertainties and a fractional-order variable-structure control term for robustly dealing with these inherent input nonlinearities. A Lyapunov approach is used to derive the updated laws and to prove the stability of the closed-loop control system. At last, a set of computer simulation results is carried out to illustrate and further validate the theoretical findings.