纠缠混沌系统的比例积分滑模同步

基于滑模控制研究纠缠混沌系统的滑模同步与比例积分滑模同步,利用滑模及比例积分滑模方法设计滑模面和控制器,采用滑模等速趋近律,根据Lyapunov稳定性理论对系统轨线在滑模面及不在滑模面运动两种情形进行分析,在设计的滑模面和控制器的共同作用下可使误差系统在有限时间内趋近于坐标原点,得到系统取得滑模同步和积分滑模同步的两个充分条件。研究表明:选取适当的控制器与滑模面,纠缠混沌系统的主从系统取得滑模同步和积分滑模同步。

Ratio integral sliding mode synchronization control of entanglement chaotic systems

The problem of sliding mode and ratio integral sliding mode synchronization of a class of entanglement chaotic systems were studied based on sliding mode control in the paper. The surfaces and controllers were designed using sliding mode and ratio integral sliding mode approach. And sliding mode uniform speed reaching law was adopted.Two cases for system trajectory on sliding mode surface and not on sliding mode surface were analyzed based on Lyapunov stability theory.The systems errors could approach to coordinate zero under the corporate action of surfaces and controllers. Two sufficient conditions were arrived for entanglement chaotic systems acquire sliding mode synchronization and integral sliding mode synchronization.The research conclusion illustrated that the master-slave systems of entanglement chaotic systems were sliding mode and ratio integral sliding mode synchronization if proper controllers and sliding mode surfaces was chosen.