Abstract
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.