Rossler系统的自适应控制研究  

Study on Adaptive Control of Rossler System

作　　者：周群利[1] 余红英[1] ZHOU Qunli;YU Hongying(School of Electrical Engineering,Wuhu Vocational College of Technology,Wuhu,Anhui 241006,China)

机构地区：[1]芜湖职业技术学院电气工程学院

出　　处：《西昌学院学报（自然科学版）》2019年第3期53-55,共3页Journal of Xichang University(Natural Science Edition)

基　　金：芜湖职业技术学院校级科研项目(Wzyzrzd201905)

摘　　要：采用自适应控制方法对Rossler系统进行控制。当该混沌动力学系统的参数未知时,对原系统进行坐标变换,基于Lyapunov稳定性理论,设计合适的控制器和参数自适应律,通过理论推导证明了变换后系统在原点的渐近稳定性,从而理论上证明了原系统可控制到不稳定平衡点的结论。系统仿真结果证明可使系统控制到任意一个不稳定平衡点,从而达到了控制目的,力证了该方法的有效性。The Rossler system is controlled by an adaptive control method.When the parameters of the chaotic dynamic system are unknown,based on Lyapunov stability theory,appropriate controller and parameter adaptive law are designed.The asymptotic stability of the transformed system at the origin is proved by theoretical derivation,and the conclusion that the original system can be controlled to the unstable equilibrium is proved theoretically.The simulation results of the system show that the system can be controlled to any unstable equilibrium point to achieve the control purpose,which verifies the effectiveness of the method.

关 键 词：ROSSLER系统 自适应控制 控制器 自适应律 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]