分数阶整数阶多混沌系统的自适应滑模同步

Self-adaptive sliding mode synchronization of fractional-order and integer-order uncertain multi-chaotic systems

利用自适应滑模方法研究具有不确定性和外扰下一类分数阶整数阶多混沌系统的同步。通过设计滑模函数及控制律,获得整数阶及分数阶多混沌系统自适应滑模同步的充分条件,并用数值仿真对所取得的结果进行了验证。

In this paper,we study synchronization of a class of fractional-order and integer-order multichaotic systems with uncertainties models and external disturbances using self-adaptive sliding mode approach. And the sufficient conditions were arrived for fractional-order and integer-order multi-chaotic systems getting self-adaptive sliding mode synchronization by design sliding mode functions and control laws. Numerical simulation demonstrate the correctness of the conclusion.