Sprott B超混沌系统比例积分滑模同步五个方案

Five Schemes of Proportional Integral Sliding Mode Synchronization of Hyper-chaotic Sprott B Systems

文章基于Lyapunov稳定性理论和滑模处理方法研究了Sprott B超混沌系统比例积分滑模同步的五个方案,并基于比例积分滑模方法得到了Sprott B超混沌系统取得滑模同步的五个充分条件。研究表明,设计适当的滑模函数与控制器,Sprott B超混沌系统的主从系统可取得比例积分滑模同步。

Five schemes of proportional integral sliding mode synchronization of hyper-chaotic SprottB system are studied from the perspective of Lyapunov stability theory and sliding mode processing method.Five sufficient conditions for sliding mode synchronization achieved by hyper-chaotic SprottB system are obtained based on proportional integral sliding mode method.The study shows that the master-slave system of hyper-chaotic SprottB system achieves proportional integral sliding mode synchronization by designing appropriate sliding mode function and controller.