摘要

In this article, an adaptive modified projective synchronization scheme of fractional-order chaotic systems with unknown parameters and disturbance is investigated. The synchronization can be completed with any desired accuracy. Based on the stability theory of fractional-order systems, the adaptive controllers and the parameters' updated laws are designed to achieve modified projective synchronization between the fractional-order chaotic systems with disturbance. Furthermore, all unknown parameters of the response system are identified simultaneously. Numerical simulations on the fractional-order chaotic Lorenz system further demonstrate that the proposed method is effective and robust.