中文摘要：

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。

英文摘要：

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.