| 引用本文: | 潘海鹏, 柯 挺, 戴文战.带线性输出的一般非线性系统的观测器设计[J].控制理论与应用,2004,21(1):22~24.[点击复制] |
| PAN Hai-peng, KE Ting, DAI Wen-zhan.Observer design for general nonlinear system with linear output[J].Control Theory and Technology,2004,21(1):22~24.[点击复制] |
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| 带线性输出的一般非线性系统的观测器设计 |
| Observer design for general nonlinear system with linear output |
| 摘要点击 1283 全文点击 618 投稿时间：2002-10-29 修订日期：2003-09-02 |
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| DOI编号 |
| 2004,21(1):22-24 |
| 中文关键词 线性输出 非线性系统 观测器 Lyapunov函数 |
| 英文关键词 linear output nonlinear systems observer Lyapunov function |
| 基金项目 浙江省自然科学基金项目(603194,602016). |
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| 中文摘要 |
| 一般非线性系统的观测器设计一直是控制理论研究的重点.本文针对一类带线性输出的一般非线性系统的观测器设计问题,通过微分中值定理,给出了观测器的一般形式.然后利用构造“观测器Lyapunov函数”,提出了一种较为宽松的一般非线性系统观测器设计方法,并证明其渐进稳定性.针对两个典型的一般非线性系统和双线性系统的分析说明了所给算法是可行的.最后,通过对一个单摆系统的观测器构造方法可以看出该算法是简单的且是易于实现的. |
| 英文摘要 |
| Observer design for general nonlinear systems is a difficult area of control theory research till now. The problem of observer design for a class of general nonlinear system with linear output was studied. First, the general form of observer was established by differential mean value theorem, then using the "observer Lyapunov function" defined, a relaxed design method for the observer design for general nonlinear systems was offered. The proof of the asymptotical stabilization of the algorithm was also given. Through the analysis of two typical cases of general nonlinear systems and bilinear systems, the main result of the paper was proved to be feasible. Finally, through the construct process of observer design for a single pendulum system, it showed that the given algorithm is simple and easy to realize. |
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