摘要
研究一个新混沌系统的不稳定平衡点的镇定问题。当参数已知时,根据Lyapunov稳定性理论,分别设计了合适的非线性反馈控制器和线性控制器,使受控的新混沌系统期望镇定的任一不稳定平衡点全局指数稳定;当参数未知时,利用自适应策略,构造了相应的控制器使受控系统期望镇定的任一不稳定平衡点渐近稳定。数值仿真结果表明,这些控制方法是有效的。
The stabilization of unstable equilibrium points of a new chaotic system is studied. According to Lyapunov stability theory, appropriate non-linear feedback controller and linear state feedback controller are designed to make any unstable equilibrium point exponentially stable when the parameters of system are certain. When the parameters are unknown, by means of an adaptive control strategy, corresponding controller is designed to make any unstable equilibrium point asymptotically stable. Numerical simulations confirm the effectiveness of these control methods.
出处
《武汉科技大学学报》
CAS
2007年第3期323-326,共4页
Journal of Wuhan University of Science and Technology
基金
湖北省教育厅科学技术资助项目(D200560001)
国家自然科学基金资助项目(60474011)
关键词
混沌系统
不稳定平衡点镇定
非线性反馈控制
线性反馈控制
自适应控制
chaotic system
stabilization of unstable equilibrium point
non-linear feedback control
linear feedback control
adaptive control
