[1]张晓宇,李平.切换系统的鲁棒二次公共Lyapunov函数矩阵寻找算法[J].智能系统学报,2017,12(06):899-905.[doi:10.11992/tis.201605012]
 ZHANG Xiaoyu,LI Ping.Matrix search algorithm of robust common quadratic Lyapunov function for switched systems[J].CAAI Transactions on Intelligent Systems,2017,12(06):899-905.[doi:10.11992/tis.201605012]
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《智能系统学报》[ISSN:1673-4785/CN:23-1538/TP]

卷:
第12卷
期数:
2017年06期
页码:
899-905
栏目:
出版日期:
2017-12-25

文章信息/Info

Title:
Matrix search algorithm of robust common quadratic Lyapunov function for switched systems
作者:
张晓宇 李平
华北科技学院 电子信息工程学院, 北京 101601
Author(s):
ZHANG Xiaoyu LI Ping
School of Electronics and Information Engineering, North China Institute of Science and Technology, Beijing 101601, China
关键词:
切换系统不确定公共Lyapunov函数二次Lyapunov函数控制鲁棒稳定LMI
Keywords:
switched systemuncertaincommon Lyapunov functionquadratic Lyapunov functioncontrolrobuststabilityLMI
分类号:
TP273
DOI:
10.11992/tis.201605012
摘要:
为了获得不确定线性切换系统稳定性判别的公共二次Lyapunov函数寻找方法,提出了鲁棒公共二次Lyapunov函数的概念,运用矩阵不等式分析,得到了在鲁棒稳定矩阵集对合和不对合的情况下,鲁棒公共二次Lyapunov函数存在的充分性条件以及LMI形式的递推搜寻算法。获得的结果便于计算机实现,对不确定切换系统鲁棒稳定性判别具有一定价值。应用仿真测试验证了其正确性。
Abstract:
To obtain a searching algorithm for the common quadratic Lyapunov function (CQLF) of an uncertain switched system (SS), the concept of the common robust quadratic Lyapunov function (CRQLF) is proposed. In addition, sufficient conditions for the CRQLF, and its corresponding recurrence search algorithm method in LMI forms, are obtained using a matrix inequality analysis when the stable matrix set is both involuntary and voluntary. These results enable easy computer implementation, and are valuable for making robust stability judgments of uncertain SSs. Furthermore, the application simulation test certificates their validity.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-05-16;改回日期:。
基金项目:国家自然科学基金项目(61304024);河北省科技计划项目(15272118);中央高校基本科研业务费基金项目(3142017046,3142016022,3142015101).
作者简介:张晓宇,男,1978年生,教授,博士,主要研究方向为滑模变结构控制、非线性系统智能自适应控制、复杂动态系统分析、综合及应用。主持完成国家自然科学基金青年基金项目1项、河北省自然科学基金项目1项、河北省科技计划项目1项、各类纵向科研项目5项、横向科研项目3项。已发表学术论文70余篇,其中有20余篇被SCI、EI检索;李平,女,1992年生,硕士研究生,主要研究方向为安全生产自动化和信息化。
通讯作者:张晓宇.E-mail:ysuzxy@aliyun.com.
更新日期/Last Update: 2018-01-03