引用本文:王璐,徐慧玲.一类3--D非线性系统的稳定性分析及函数观测器设计[J].控制理论与应用,2014,31(4):493~500.[点击复制]
WANG Lu,XU Hui-ling.Stability analysis and design of functional observers for a class of three-dimensional nonlinear systems[J].Control Theory and Technology,2014,31(4):493~500.[点击复制]
一类3--D非线性系统的稳定性分析及函数观测器设计
Stability analysis and design of functional observers for a class of three-dimensional nonlinear systems
摘要点击 1860  全文点击 1270  投稿时间:2013-01-07  修订日期:2013-10-30
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DOI编号  10.7641/CTA.2014.30020
  2014,31(4):493-500
中文关键词  3--D系统  非线性系统  LMI方法  函数观测器
英文关键词  3--D systems  nonlinear systems  linear matrix inequality (LMI)  functional observers
基金项目  国家自然科学基金资助项目(61174137).
作者单位E-mail
王璐 南京理工大学 自动化学院 wlulu0327@hotmail.com 
徐慧玲* 南京理工大学 理学院 xuhuiling@njust.edu.cn 
中文摘要
      本文首先研究了一类3--D非线性系统的稳定性问题, 在此基础上, 利用秩条件和线性矩阵不等式(LMI)方法, 得到了这类系统的渐近函数观测器存在的充分条件, 并给出了函数观测器的设计方法. 最后, 通过算例来说明这种方法是可行且有效的.
英文摘要
      This paper firstly studies the stability condition for a class of three-dimensional (3--D) nonlinear systems, and based on this, a sufficient condition for the existence of an asymptotic functional observer is given in terms of a rank condition and a linear matrix inequality (LMI). A systematic design method is then presented for the design of functional observers. Finally, two examples are provided to illustrate the effectiveness of the proposed design method.