| 一类单边Lipschitz非线性系统观测器的设计 |
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| 引用本文： | 张红钰,徐明跃.一类单边Lipschitz非线性系统观测器的设计[J].哈尔滨师范大学自然科学学报,2011,27(3):39-40,43. |
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| 作者姓名： | 张红钰 徐明跃 |
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| 作者单位： | 哈尔滨师范大学 |
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| 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.
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| 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 |
The Design of Observers for a Class of One-sided Lipschitz Nonlinear System |
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| Zhang Hongyu
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Xu Mingyue.The Design of Observers for a Class of One-sided Lipschitz Nonlinear System[J].Natural Science Journal of Harbin Normal University,2011,27(3):39-40,43. |
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| Authors: | Zhang Hongyu Xu Mingyue |
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| Institution: | (Harbin Normal University) |
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| Abstract: | 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. |
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| Keywords: | One-sided Lipschitz condition Quadratic inner-boundedness Nonlinear systems Nonlinear matrix inequality linear matrix inequality |
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