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非线性延时系统的观测器设计
引用本文:祝乔,崔家瑞. 非线性延时系统的观测器设计[J]. 控制工程, 2012, 19(3): 374-376
作者姓名:祝乔  崔家瑞
作者单位:1. 北京科技大学自动化学院,北京100083;北京科技大学钢铁流程先进控制教育部重点实验室,北京100083
2. 北京科技大学自动化学院,北京,100083
基金项目:中央高校基本科研业务费专项资金资助(FRF-AS-09-006B);北京市重点学科共建项目(XK100080537)
摘    要:分析了一类非线性延时系统的观测器设计问题。为了分析非线性函数对观测器设计的影响,提出了一类准单边Lipshitz条件。在准单边Lipschitz条件的基础上,得到了可渐近估计任意状态的延时无关和延时相关的观测器设计充分条件。这些充分条件可描述为线性矩阵不等式的形式。此外,即使非线性延时系统的参数对(A,C)是不可测的,这些充分条件依然是有效的,因为不必正定的准单边Lipschitz矩阵包含了很多非线性部分的有用信息。

关 键 词:观测器设计  非线性延时系统  准单边Lipschitz条件  延时无关和延时相关  线性矩阵不等式

Observer Design for Nonlinear Time-Delay Systems
ZHU Qiao , CUI Jia-rui. Observer Design for Nonlinear Time-Delay Systems[J]. Control Engineering of China, 2012, 19(3): 374-376
Authors:ZHU Qiao    CUI Jia-rui
Affiliation:1(1.School of Automation & Electrical Engineering,University of Science and Technology Beijing,Beijing 100083,China; 2.Key Laboratory of Advanced Control of Iron and Steel Process(Ministry of Education),Beijing 100083,China)
Abstract:Observer design for a class of nonlinear time-delay systems is dealt with.A quasi-one-sided Lipschitz condition is introduced to estimate the influence of nonlinear vector function on the observer design.Delay-independently/delay-dependently sufficient conditions for observer to asymptotically estimate any state vector are presented which can be formulated in the form of linear matrix inequalities.Furthermore,these sufficient conditions for observer design are available even if the pair of nonlinear delay system is undetectable,because the not necessary positive quasi-one-sided Lipschitz constant matrix includes much useful information of the nonlinear part.
Keywords:observer design  nonlinear time-delay systems  the quasi-one-sided Lipschitz condition  delay-independent/delay-dependent  linear matrix inequality
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