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

Abstract

For conventional backstepping control, the analytical calculation of certain virtual controller is required in each step, so when system order increases, the computational burden also increases. An adaptive command filtered fuzzy synchronization approach is implemented for strict feedback fractional-order chaotic systems (FCSs) in this paper. The computational 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.