一类非线性系统降维观测器设计  

Reduced-order Observer Design for a Class of Nonlinear Systems

作　　者：徐明跃[1,2] 胡广大[1] 

机构地区：[1]哈尔滨工业大学航天学院,黑龙江哈尔滨150001 [2]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2010年第4期58-63,67,共7页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金资助(10671049)

摘　　要：讨论了一类非线性系统的降维观测器设计问题.借助于微分中值定理,给出了一类非线性系统降维观测器存在的充分条件.该条件是以线性矩阵不等式的形式给出的.而且观测器设计方法不仅适用于可微Lipschitz非线性系统,还适用于可微非Lipschitz的非线性系统.最后给出了两个仿真算例以验证所给方法的效果.In this paper,the reduced-order observer design for a class of nonlinear systems is investigated.Based on the differential mean value theorem（DMVT）,we propose sufficient conditions for the existence of reduced-order observer of the class of nonlinear systems.The proposed sufficient conditions are given in terms of linear matrix inequalities（LMIs）.In addition,the present approach is applicable not only to the differential Lipschitz nonlinear systems（DLSs） but also to some nonlinear systems which are not 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 线性矩阵不等式(LMI) 微分中值定理 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]