基于拟单边Lipschitz条件的非线性系统观测器设计  

Observer Design for Nonlinear System: Based on Quasi-one-sided Lipschitz Condition

作　　者：徐铭鞠[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》2012年第3期32-37,共6页Natural Science Journal of Harbin Normal University

摘　　要：一类拟单边Lipschitz非线性系统的观测器设计问题.基于拟单边Lipschitz条件,给出一系列这类非线性系统观测器存在性的充分条件,这些条件至少是已有文献中相关结论的补充,而且和已有文献中的结论相比,所给出的充分条件要减少保守性.论文表明了对于大多数非线性系统观测器的设计而言,拟单边Lipschitz常数矩阵要优于单边Lipschitz常数和传统的Lipschitz常数.需要指出的是所提出的方法不仅可以直接应用于一些重要的Lipschitz非线性系统,对于拟单边Lipschitz非线性系统而非通常的Lipschitz非线性系统也同样适用.最后,仿真算例验证了结论的可行性.In this systems is investigated paper, the observer design for the class of quasi - one - sided Lipschitz nonlinear Based on the quasi- one- sided Lipschitz condition, we propose sufficient conditions of the existence of the observers for the class of nonlinear systems, these conditions are complements of those based on Lipschitz condition in literature at least, and some of these conditions are less conservative than those in literature. This paper shows that the one - sided Lipschitz constant matrix is superior to the one - sided Lipschitz constant and Lipschitz constant for observer design of a large number of nonlinear systems. It should be noticed that some of the present results are directly applicableto not only the important class of the Lipschitz nonlinear systems but also the quasi - one - sided Lipschitz nonlinear systems which are not the usual Lipschitz nonlinear systems. Some examples are given to illustrate the proposed approach.

关 键 词：非线性系统 观测器设计 单边LIPSCHITZ条件 拟单边Lipschitz条件 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]