非线性系统的一种指数收敛观测器

A Kind of Exponential Observer for Nonlinear System

为使非线性系统状态反馈设计切实可行 ,对一种非线性指数型观测器设计的前提条件进行了讨论 ,并提出了观测器的具体设计方法 .即给出了可观测对为时变情形时的有关结论 ,同时还给出了非时变时的特别结论 .所给出的观测器具有收敛速度快的特点 .讨论过程中没有用到观测器设计通常要涉及到的 Lyapunov稳定性理论 ,因而其过程避免了寻找不易构造的 Lyapunov函数 .通过算例 。

In order to make the state feedback for nonlinear systems feasible, the conditions under which a kind of exponential observer for nonlinear system can be designed were discussed and the design methods were put forward.The conclusions when observable matrices are both time varying and non time varying were given.The presented observers have the advantages of fast convergence.It avoided the construction of Lyapunov function in the process. An example was given to show the good performance of the observer.