多涡卷超混沌系统自适应滑模同步控制  

Synchronization of multiwing hyperchaotic systems via adaptive sliding mode control

作　　者：孙美美[1] 胡云安[1] 韦建明[1] 

机构地区：[1]海军航空工程学院控制工程系,山东烟台264001

出　　处：《山东大学学报（工学版）》2015年第6期45-51,64,共8页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(60705030);山东省自然科学基金资助项目(ZR2010FQ005)

摘　　要：研究了一类多涡卷超混沌系统的同步控制问题,同时考虑了不确定项和未知扰动的情况,提出了一种自适应滑模控制方案。综合利用滑模控制技术和自适应控制技术,消除了系统不确定性和未知扰动的影响,对于不确定性和未知扰动具有较好的鲁棒性。利用Lyapunov稳定性理论证明了系统同步误差渐近收敛到一个原点的小邻域内,系统渐近稳定。仿真结果验证了该方法的有效性。An adaptive sliding mode control scheme was presented for the synchronization of a class of multiwing hyperchaotic system with uncertainties and unknown external disturbances. The sliding mode control and parameter adaptive principle were designed to realize the synchronization between the master system and slave system. Adaptive control technique and the sliding mode technique were both used to introduce robustness and eliminate systematic uncertainties and affections from external disturbances. It is proved that synchronization errors converge to a small neighbourhood of the origin by using Lyapunov stability theory. Finally,simulation results verified the effectiveness of the proposed control scheme.

关 键 词：多涡卷 超混沌 混沌同步 自适应控制 滑模控制 PI滑模面 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]