洛伦兹-哈肯激光混沌系统有限时间稳定主动控制方法研究

研究了洛伦兹-哈肯激光混沌系统基于主动控制方法的有限时间稳定问题. 在研究Terminal 吸引子的基础上, 考虑系统不确定性, 提出一种基于Terminal 吸引子且具有动态主动补偿特性的主动控制方法, 使受控洛伦兹-哈肯激光混沌系统近似实现有限时间稳定.同时, 为解决系统不确定性问题, 设计了一种新的观测器, 并使这种观测器能在很短时间内跟踪系统的不确定性.通过引入奇异扰动性理论, 详细地分析了闭环系统近似有限时间稳定性.仿真实验结果验证了该主动控制方法及观测器的有效性.

The study of finite-time stability active control method for Lorenz-Haken laser chaotic system

In this paper, the problem of finite-time stability for Lorenz-Haken laser chaotic system is studied by active control method. On the basis of the study for terminal attractor, and the consideration fo the uncertainties, an active control method with dynamic active compensation based on terminal attractor is proposed, which makes the controlled Lorenz-Haken laser chaotic system achieve the finite-time stability approximately. Meantime, in order to solve the uncertainties, a new observer is designed, which makes the estimate value follow the real value of uncertainties in a very short time. The approximate finite-time stability of the closed-loop system is analyzed in detail by introducing a singular perturbation theory. Simulation results show the effectiveness of the active control method and observer.