光学技术, 2018, 44 (2): 226, 网络出版: 2018-05-01
单模激光Lorenz系统零动态控制耦合混沌同步
Coupled chaos synchronization between the single-mode laser Lorenz systems by control of the zero dynamics
单模激光Lorenz系统 混沌同步 零动态 反馈线性化 最小相位系统 single-mode laser Lorenz system chaos synchronization zero-dynamics feedback linearization minimum phase system
摘要
基于微分几何理论, 提出了一个通过零动态控制实现同结构单模激光Lorenz系统的混沌同步控制方法。对于误差动力学系统, 通过动态扩充相对阶和部分状态反馈线性化获得两个子系统, 分别独立设计控制器形成复合控制。对于非最小相位系统和最小相位系统两种情形的模拟仿真, 验证了方法的有效性, 表明了对同类问题的适用性。
Abstract
A method for the chaos synchronization between two Lorenz systems is proposed by control of the zero-dynamics based on the differential geometry theory. After the relative degree in the system is dynamically expanded and the system is linearized by the state feedback, the error dynamics system can be divided into two subsystems. A compound controller is derived from the subsystems in which the controllers are designed independently. The simulation for the minimum phase system and the non-minimum phase system show the effectiveness and the control scheme can be applied to the other types of the chaos synchronization.
王忠鑫, 李钢, 马翔, 张晓璇, 林笑竹, 李想, 王欣然. 单模激光Lorenz系统零动态控制耦合混沌同步[J]. 光学技术, 2018, 44(2): 226. WANG Zhongxin, LI Gang, MA Xiang, ZHANG Xiaoxuan, LIN Xiaozhu, LI Xiang, WANG Xinran. Coupled chaos synchronization between the single-mode laser Lorenz systems by control of the zero dynamics[J]. Optical Technique, 2018, 44(2): 226.