Fuzzy synchronization of fractional-order chaotic systems using finite-time command filter

For conventional backstepping control, the analytical calculation of certain virtual con-troller is required in each step, so when system order increases, the computational burden also increases. An adaptive command filtered fuzzy synchronization approach is imple-mented for strict feedback fractional-order chaotic systems (FCSs) in this paper. The com-putational explosion in the backstepping is solved through a fractional-order command filter (FCF). The filtering approximation errors arising from the FCF are overcame by a error compensation mechanism (ECM). In every step, a fuzzy system is introduced to process system uncertainties. The stability of synchronization errors of a strict feedback FCS is ensured based on fractional Lyapunov stability criteria. Finally, numerical simulation examples illustrate the effectiveness of the proposed scheme. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

An adaptive command filtered fuzzy synchronization approach is implemented for strict feedback fractional-order chaotic systems, solving computational explosion in backstepping using a fractional-order command filter and error compensation mechanism, ensuring stability of synchronization errors.