Terminal滑模自适应控制实现一类不确定混沌系统的同步

应用Terminal滑模控制技术和选择指数趋近律来综合滑模控制器，实现一类混沌系统的状态同步．在控制器中引入一类简单的自适应律，用以在线估计界参数．该设计方案消除了滑模控制的到达阶段，状态始终保持在滑模面上，并能在有限时间内趋近于原点．与一般滑模控制同步实现相比，具有更小的同步时间和鲁棒性．通过对Duffing—Holmes系统的同步仿真，验证了该方法的可行性．

Synchronization of Chaotic Systems with Parametric Uncertainty Using Terminal Sliding Mode Adaptive Control

By applying terminal sliding mode control technique and selecting exponential reaching law, a terminal sliding mode controller is synthesized, and then applied to synchronization of a class of chaotic systems with mismatched parametric uncertainties. Furthermore, a simple adaptive law is introduced to on-line estimate the parameter bounds. This design scheme eliminates the reaching phase of sliding mode control, and the synchronization system states stay on the sliding surface all the time. Therefore, the time of synchronization is shorten comparing with the ordinary sliding mode control. The simulation of Dulling-Holmes system is presented to show the effectiveness of the proposed method.