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一类非线性切换系统基于观测器的稳定性分析
  • ISSN号：1000-5781
  • 期刊名称：系统工程学报
  • 时间：0
  • 页码：11871-11877
  • 语言：中文
  • 分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000, [2]曲阜师范大学自动化研究所,山东日照276826
  • 相关基金：国家自然科学基金资助项目（60574007）
  • 相关项目：不确定切换控制系统及机动跟踪控制问题研究
作者： 周强|武玉强|
关键词： 非线性切换系统, 滑模观测器, 渐近稳定, 多李亚普诺夫函数, nonlinear switched systems, sliding mode observer, asymptotic stability, multiple Lyapunov function
中文摘要：

针对在实际工程系统中状态不可观测的困难,考虑了同时包含李普希兹非线性干扰项和不确定项的切换系统的稳定性问题.在一定的假设条件下,讨论了系统的滑模观测器.在不确定项满足匹配条件的情况下,基于滑模观测器的设计,利用多李亚普诺夫函数方法得到了保证误差切换系统渐近稳定的充分条件,所设计的滑模观测器成为切换系统的渐近稳定的观测器.这为非线性切换系统利用观测器进行稳定性分析提供了一个新视角.最后通过仿真算例验证了所提方案的正确有效性.

英文摘要：

With the problem that the states are difficult to be observed during the actual engineering systems, this paper is eoneemed with the stabilization problem for nonlinear switched systems both with Lipschitz nonlinearity and uncertainty. The sliding mode observer for the considered systems is discussed under some assumptions. Based on the sliding mode observer design, by using the method of multiple Lyapunov function, the matching condition yields a sufficient condition, which ensures the stability of the switched error systems. And also the sliding mode observer is shown to be stabilized. The results obtained provide a new insight into the stability analysis of the switched systems with uncertainty. Finally, a simulation example validates the correctness and effectiveness of the presented algorithms.

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期刊信息
  • 《系统工程学报》
  • 北大核心期刊（2014版）
  • 主管单位:中国科协
  • 主办单位:中国系统工程学会
  • 主编：唐万生
  • 地址：天津市卫津路92号
  • 邮编：300072
  • 邮箱：jsetju@263.net
  • 电话：022-27403197
  • 国际标准刊号：ISSN：1000-5781
  • 国内统一刊号：ISSN：12-1141/O1
  • 邮发代号:6-95
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:14850