光学学报, 1997, 17 (1): 10, 网络出版: 2006-10-31
声光双稳系统混沌的控制
Chaos Control of Acousto Optical Bistable System
混沌控制 参数微扰控制方法 不稳定周期轨道 反馈控制 李亚普诺夫指数 声光双稳系统 chaos control OGY control method UPO feedback control Lyapunov exponent AOB system
摘要
对声光双稳(AOB)系统的混沌态提出参数连续延时反馈的控制技术。数值分析表明,在一定的控制强度下,这种控制使系统在原混沌区具有负的最大李亚普诺夫指数(MLE),并且能够保证控制的目标状态是原系统的失稳不动点或不稳定周期轨道(UPO)。文章通过与实验结果的比较,验证了本控制方法的有效性。
Abstract
This paper gives a method of chaos control to acousto optical bistable (AOB) system using the technique of continuous parameter delayed feedback. Numerical results show that under some stiffness of control the controlled system has negtive maximum Lyapunov exponent (MLE) in the initial chaotic domain and so that controlled state is convinced to be the unstable fixed point or unstable periodic orbit (UPO) of the initial system. By comparied with the experimental results, the validity of this control method is verified.
刘金刚, 沈柯, 周立伟. 声光双稳系统混沌的控制[J]. 光学学报, 1997, 17(1): 10. 刘金刚, 沈柯, 周立伟. Chaos Control of Acousto Optical Bistable System[J]. Acta Optica Sinica, 1997, 17(1): 10.