Disturbance observer based adaptive fuzzy synchronization controller design for uncertain fractional-order chaotic systems

• Published in: Frontiers in applied mathematics and statistics Vol. 8
• Main Authors: Chen, Youjun, Wang, Feng
• Format: Journal Article
• Language: English
• Published: Frontiers Media S.A 04-11-2022
• Subjects: adaptive fuzzy control; chaos synchronization; disturbance observer; fractional-order chaotic system; sliding mode control
• ISSN: 2297-4687; 2297-4687
• DOI: 10.3389/fams.2022.1019047

This study premeditated the synchronization of two fractional-order chaotic systems (FOCSs) with uncertainties and external disturbances. We utilized fuzzy logic systems (FLSs) to estimate unknown nonlinearities, and implemented disturbance observers to estimate unknown bounded external disturbances. Then, a robust control term was devised to compensate for the unavoidable approximation error of the fuzzy system. In addition, a sliding mode surface was devised to construct an adaptive fuzzy sliding mode controller (AFSMC) that can guarantee that the synchronization error converges to a small neighborhood of zero. Finally, the validity of the proposed control strategy was verified
via
a numerical simulation.