基于同步方法的观测器设计

Observer Design Based On Some Synchronization Technique

基于ODE系统的混沌同步方法,用惯性流形方法和自适应控制方法研究观测器的设计。对于参数确定系统,构造的观测器是全局的,初值可以任意选取,而且所得结果对于初值敏感的混沌系统依然适用;对于参数未知系统,构造的观测器只是局部的。作为示例,为蔡氏电路(Chua's Circuit)和未知参数的Lorenz系统分别设计了观测器,并进行了模拟和仿真验证。

A method is proposed to study the observer design problem based on synchronization technique for ODE systems, which could be chaotic. Global observers are constructed for chaotic systems with linear output feedback, and local observers for systems with unknown parameters. For illustration, the proposed design method is applied to some systems, which can be chaotic, such as Chua＇s circuit and Lorenz system with unknown parameters.