| 引用本文: | 朱芳来.类Lyapunov非线性系统降维观测器设计[J].控制理论与应用,2004,21(4):607~610.[点击复制] |
| ZHU Fang-lai.Design of reduced-order observers fornonlinear systems via Lyapunov-like method[J].Control Theory and Technology,2004,21(4):607~610.[点击复制] |
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| 类Lyapunov非线性系统降维观测器设计 |
| Design of reduced-order observers fornonlinear systems via Lyapunov-like method |
| 摘要点击 1494 全文点击 1350 投稿时间：2002-08-19 修订日期：2003-10-20 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.4.025 |
| 2004,21(4):607-610 |
| 中文关键词 非线性系统 降维观测器 全维观测器 Lyapunov函数 |
| 英文关键词 nonlinear systems reduced-order observer full-order observer Lyapunov function |
| 基金项目 广西区自然科学基金项目(0310003;0339069); 桂教科研项目([2003]22). |
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| 中文摘要 |
| 对一般形式的非线性系统,引入了Lyapunov稳定意义下观测器存在性的概念,讨论了降维观测器的存在性.指出若相对于一特别形式的Lyapunov函数在Lyapunov稳定意义下存在全维观测器,则还存在降维观测器,并给出了降维观测器之设计方法.为说明该方法的指导意义,用该方法相对于Lipschitz非线性系统给出了降维观测器设计,并对该设计相对于一具体模型进行了仿真分析,仿真结果表明了该设计方法的正确性及实用性. |
| 英文摘要 |
| The existence and design methods for reduced_order observers for nonlinear systems are presented. After the concept of the existence of observer under the meaning of Lyapunov stability was introduced, the existence of reduced_order observer was studied based on the introduced concept.The conclusion was reached that if there is a full_order observer under the meaning of Lyapunov stability with respect to the special Lyapunov function, there also exists a reduced_order one with the same assumptions. A reduced_order observer design for Lipschitz nonlinear systems was then developed and the results of the simulation to an actual model showed that the design method has good performances. |