基于新型趋近律的参数未知分数阶Rucklidge系统的滑模同步

Sliding mode synchronization of fractional-order Rucklidge systems with unknown parameters based on a new type of reaching law

利用分数阶微积分理论,基于一种新型趋近律研究不确定分数阶Rucklidge混沌系统的自适应滑模同步问题,根据滑模同步方法给出驱动-响应系统获得滑模混沌同步的充分条件。研究表明:在选取适当的控制器以及滑模函数条件下,驱动-响应系统获得滑模同步,数值仿真表明该方法具有可行性和有效性。

The problem of self-adaptive sliding mode synchronization of uncertainty fractional-order Rucklidge systems based on a new reaching law was studied with the fractional-order calculus theory.The sufficient conditions were concluded for drive-response systems to get sliding mode chaos synchronization by sliding mode approach.It was proved that drive-response systems were chaos synchronization under proper controllers and sliding mode function.Numerical simulations results verified the feasibility and effectiveness of the proposed method.