摘要
研究具有参数不确定性及外界干扰的时滞三角型混沌系统的投影同步问题。根据Lyapunov稳定性理论和滑模变结构控制方法,设计了单维滑模控制器和自适应更新规则,使得混沌主从系统按照期望的标量尺度因子实现同步并对不确定参数进行估计。上述方法不需要预先知道参数不确定性和外界扰动的界值,在控制器中引入自适应律,用以在线估计参数和界值,具有很强的鲁棒性。单维控制器降低了控制器的维数,在实际中易于实现。数值仿真表明了单维滑模控制方法的有效性。
The projective synchronization of delayed uncertain chaotic systems was discussed. Based on Lyapunov stability theory and sliding mode variable structure control method, the one - dimension sliding mode controller and adaptive update laws were designed, by which we can realize synchronize of the drive and response systems according to desired scaling factors and estimate the uncertain parameters. Suitable update laws were designed to estimate on - line the unknown parameters and bounds of the external disturbance. The proposed controller has strong robustness. One - dimension controller reduces the dimension of the controller. Simulation results show the efficiency of the proposed controller.
出处
《计算机仿真》
CSCD
北大核心
2014年第6期377-380,共4页
Computer Simulation
基金
国家自然科学基金资助项目(61002007)
河南省教育厅基金资助项目(13A413374)
关键词
时滞混沌系统
投影同步
自适应滑模控制
单维控制器
外部扰动
Delayed chaotic system
Projective synchronization
Adaptive sliding mode control
One - dimension controller
External perturbation
