一个新混沌系统不稳定平衡点的镇定  

Stabilization of unstable equilibrium points in a new chaotic system

作　　者：罗海庚[1] 蹇继贵[1] 廖晓昕[1] 

机构地区：[1]华中科技大学控制科学与工程系,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2005年第2期44-46,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60274007;60474011);高等学校博士学科点专项基金资助项目(20010487005).

摘　　要：用线性反馈控制和自适应控制方法研究了一个新的混沌系统不稳定平衡点的镇定问题.当系统参数已知时,借助系统在平衡点附近的线性化模型,利用状态线性反馈控制器可以镇定系统所有的平衡点;当参数未知时,利用自适应控制策略,可以把系统镇定到期望的不稳定平衡点.利用Lyapunov函数和LaSalle不变原理对结论给予了严格证明,并用数值仿真说明了这种方法的有效性.By utilizing linear feedback control and adaptive control approaches, the stabilization of unstable equilibrium points of a new chaotic system was studied. When the system parameters were known, all unstable equilibrium points were stabilized by designing a linear state feedback controller. If the parameters were completely unknown, an adaptive control strategy was put forward to achieve the same goal. The strict proofs were presented in terms of Lyapunov functions and LaSalle invariant principle. Numerical simulations were given to show the effectiveness of the results.

关 键 词：混沌系统 不稳定平衡点镇定 反馈控制 自适应控制 

分 类 号：TN711.4[电子电信—电路与系统] TN918