具有未知扇区非线性输入的混沌系统修正投影同步  

Modified Projective Synchronization of Chaotic Systems with Unknown Sector Nonlinear Input

作　　者：方洁[1] 江泳[1] 姜长生[2] 

机构地区：[1]郑州轻工业学院电气信息工程学院,河南郑州450002 [2]南京航空航天大学自动化学院,江苏南京210016

出　　处：《应用基础与工程科学学报》2013年第2期379-390,共12页Journal of Basic Science and Engineering

基　　金：国家自然科学基金(61070238)资助项目;国家自然科学基金(90716028)资助项目;河南省教育厅科研基金(13A413374)资助项目

摘　　要：研究了具有未知扇区非线性输入且含有模型不确定性和外部干扰的混沌系统的修正投影同步问题.基于Lyapunov稳定性理论和滑模控制方法,设计了具有积分环节的滑模面和自适应滑模同步控制器,实现了驱动-响应系统的修正投影同步.该方法考虑了由于执行器限制等因素引起的控制输入的非线性影响,并且在控制器的设计中,不需要预先知道扇区非线性输入函数的界值.所设计控制器不受系统模型不确定性、外界干扰和非线性输入的影响,可适用于任意混沌系统,具有很强的鲁棒性和通用性.以Lorenz混沌系统和Chen混沌系统为例的仿真研究表明该控制方法的有效性.The modified projective synchronization of chaotic system with unknown sector nonlinearity input, model uncertainties and external perturbation was discussed. Based on Lyapunov stability theory and sliding mode variable structure control method, a stable integral-type sliding surface was defined and an adaptive sliding mode controller was designed. By using the controller, the drive and response systems could realize modified projective synchronization when the control input was influenced through nonlinearities produced by actuator or external uncertainty recourses. The approach does not need to known the bounds of the sector nonlinear input function in advance. The proposed controller has strong robustness and versatility since it is applicable to any chaotic system and beyond the impact of input sector nonlinearity, model uncertainty and external perturbation. Simulation results of the uncertain Lorenz chaotic system and Chen chaotic system show the efficiency of the proposed controller.

关 键 词：混沌系统 修正投影同步 自适应滑模控制 未知扇区 非线性输入 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]