期刊名称：Journal of Theoretical and Applied Information Technology
印刷版ISSN：1992-8645
电子版ISSN：1817-3195
出版年度：2013
卷号：48
期号：1
页码：145-151
出版社：Journal of Theoretical and Applied
摘要：In order to bridge between fractional-order and integer order nonlinear dynamical system, in this letter, we brings attention to synchronization and anti-synchronization between fractional-order chaotic system and integer-order chaotic system by using back-stepping method. And the sufficient conditions for achieving the synchronization and anti-synchronization of a class of fractional-order nonlinear system and integer-order nonlinear system are derived based on Lyapunov stability theory. Moreover, a new back-stepping control law with only one term is introduced such that a typical example can be realized successfully, which is easier to be applied to industry for its only one controller term. Finally, numerical simulations are provided to verify the effectiveness and feasibility of the proposed control scheme, which are in agreement with theoretical analysis.
关键词：Synchronization; Fractional Order; Back-stepping Control
