| 一类非线性系统降维观测器设计 |
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| 引用本文： | 徐明跃,胡广大.一类非线性系统降维观测器设计[J].哈尔滨理工大学学报,2010,15(4):58-63,67. |
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| 作者姓名： | 徐明跃 胡广大 |
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| 作者单位： | 1. 哈尔滨工业大学,航天学院,黑龙江,哈尔滨150001;哈尔滨师范大学,数学科学学院,黑龙江,哈尔滨,150080
2. 哈尔滨工业大学,航天学院,黑龙江,哈尔滨150001 |
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| 基金项目： | 国家自然科学基金资助 |
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| 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.
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| 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 |
Reduced-order Observer Design for a Class of Nonlinear Systems |
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| XU Ming-yue,HU Guang-da.Reduced-order Observer Design for a Class of Nonlinear Systems[J].Journal of Harbin University of Science and Technology,2010,15(4):58-63,67. |
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| Authors: | XU Ming-yue HU Guang-da |
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| Affiliation: | 1.School of Astronautics,Harbin Institute of Technology,Harbin 150001,China;2.School of Mathematics,Harbin Normal University,Harbin 150080,China) |
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| Abstract: | 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. |
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| Keywords: | nonlinear system observer design linear matrix inequality（LMI） differential mean value theorem（DMVT） |
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