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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。
In this paper, the synchronization problem of a class of multi-scroll hyperchaotic systems is studied. At the same time, the uncertainties and unknown disturbances are considered. An adaptive sliding mode control scheme is proposed. The comprehensive utilization of sliding mode control technology and adaptive control technology eliminates the influence of system uncertainties and unknown disturbances, and has good robustness to uncertainties and unknown disturbances. The Lyapunov stability theory is used to prove that the system synchronization error converges asymptotically to a small neighborhood of an origin and the system is asymptotically stable. Simulation results verify the effectiveness of this method.