一类单边Lipschitz非线性系统观测器的设计  

The Design of Observers for a Class of One-sided Lipschitz Nonlinear System

作　　者：张红钰[1] 徐明跃[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2011年第3期39-40,43,共3页Natural Science Journal of Harbin Normal University

摘　　要：主要研究了一类单边Lipschitz非线性系统观测器设计的方法.首先引入单边Lipschitz条件,相对于传统的Lipschitz条件在设计观测器时是可以减少保守性的,并且利用二次内积有界性和非线性矩阵不等式得出了单边Lipschitz非线性系统观测器的设计的新方法,同时将非线性矩阵不等式转化成线性矩阵不等式进行求解.In this paper,the problem of design of observers for a class of one-sided Lipschitz nonlinear systems is studied.Replacing the one-sided Lipschitz condition with classical Lipschitz condition is firstly introduced,which can be applied to a wider class of systems.A new method of design of observers for one-sided Lipschitz nonlinear systems are proved by quadratic inner-boundedness and nonlinear matrix inequality.At the same time,nonlinear matrix inequality is translated into linear matrix inequality.

关 键 词：单边LIPSCHITZ条件 二次内积有界 非线性系统 非线性矩阵不等式 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]