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An LMI-based variable structure control for a class of uncertain singular Markov switched systems
  • ISSN号：2095-6983
  • 期刊名称：《控制理论与技术：英文版》
  • 时间：0
  • 分类：TP13[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—控制理论与控制工程]
  • 作者机构：[1]Institute of Automation, Qufu Normal University, Rizhao Shandong 276826, China
  • 相关基金：This work was supported by the National Natural Science Foundation of China （No.60574007, 60674027）.
作者： Lijun GAO Yuqiang WU[1]
关键词： 变数结构, 表面转换, 控制理论, 计算机, Markov switched systems, Variable structure, LMI, Switching surface
中文摘要：

H-infinifty 可变结构控制被介绍因为单个 Markov 与错配的围住标准的不确定性交换了系统；错配的围住标准的外部骚乱。给定的切换的表面上的滑动模式动力学是常规的，这被显示出，没有推动，；随机的联盟者马厩；满足 H 无穷性能。一个可变结构控制器被设计保证系统轨道在一些有限时间收敛到线性切换表面。最后，一个数字例子被解决显示出有效性；理论结果的正当。

英文摘要：

An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results.

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期刊信息
  • 《控制理论与技术：英文版》
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中科院数学与系统科学研究院
  • 主编：胡跃明
  • 地址：广州市天河区五山路381号华南理工大学
  • 邮编：510640
  • 邮箱：jcta@scut.edu.cn
  • 电话：020-87111464
  • 国际标准刊号：ISSN：2095-6983
  • 国内统一刊号：ISSN：44-1706/TP
  • 邮发代号:46-319
  • 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,荷兰文摘与引文数据库,美国工程索引
  • 被引量:69