| 时滞Lipschitz非线性系统观测器设计 |
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| 引用本文： | 杨洪金,肇和平,井元伟,贾洪帅.时滞Lipschitz非线性系统观测器设计[J].信息与控制,2012,41(2):210-213,219. |
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| 作者姓名： | 杨洪金 肇和平 井元伟 贾洪帅 |
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| 作者单位： | 1. 中国人民解放军第65183部队,辽宁辽阳,111200
2. 东北大学信息科学与工程学院,辽宁沈阳,110004 |
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| 摘 要： | 给出了满足Lipschitz条件的离散非线性时滞系统的全维、降维观测器的设计方法和误差收敛的充分条件,并分别进行了证明.全维观测器通过将带有非线性项的矩阵不等式转化为两步线性矩阵不等式解出两个增益矩阵.降维观测器则通过解线性矩阵不等式(LMI)方便地获得观测器的增益矩阵,消除了增益矩阵选取的盲目性.通过对同一模型的仿真分析,两种观测器的状态估计误差均能迅速收敛到0,表明了所提出方法的有效性.
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| 关 键 词： | 非线性离散系统 时滞 全维观测器 降维观测器 |
Observer Design for Lipschitz Nonlinear Systems with Time Delay |
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| YANG Hongjin
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ZHAO Heping
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JING Yuanwei
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JIA Hongshuai.Observer Design for Lipschitz Nonlinear Systems with Time Delay[J].Information and Control,2012,41(2):210-213,219. |
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| Authors: | YANG Hongjin ZHAO Heping JING Yuanwei JIA Hongshuai |
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| Affiliation: | 1(1.No.65183 People’s Liberation Army Troops,Liaoyang 111200,China;2.College of Information Science and Engineering,Northeastern University,Shenyang 110004,China) |
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| Abstract: | The design methods of the full-order and the reduced-order observers for discrete-time Lipschitz nonlinear systems with time delay and the suffcient condition for the error convergence are given and proved respectively.The fullorder observer solves the two gain matrixes by transforming a matrix inequality with nonlinear terms into two-step linear matrix inequality.However,the gain matrix of observer is obtained easily by solving the linear matrix inequality(LMI),which avoids the blindness in selecting the gain matrix.According to the simulation analysis of the same model,the state estimation errors of the two observers can converge to zero quickly,which verifies the effciency of the approach. |
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| Keywords: | discrete-time nonlinear system time delay full-order observer reduced-order observer |
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