一类浑沌系统的变换、估计和控制

Transformation, Estimation and Control for a Class of Chaotic Systems

本文从系统的外部特性出发,用统计方法处理一类浑沌系统的建模、估计和控制。文中将浑沌系统视为一类特殊的随机系统,研究了不变测度意义下浑沌系统的变换,给出了建立其等价概率模型的方法,据此实现状态的预测估计,进而提出了一种消除浑沌的控制策略。

A class of chaotic systems, modelled by the first - order difference equations, is considered. A chaotic system is treated as a special kind of stochastic systems from the viewpoint of statistics and the external behaviors of the system. The problem of transforming a chaotic system into a stochastic one in the sense of invariant measurement is studied. The method to build the equivalent probability models of the chaotic system is presented. The predictive estimation of systems is discussed. A simple and practical control strategy is proposed to eliminate or suppress the chaos and to obtain an expected output. The effectiveness of the proposed approach is illustrated by simulation examples.