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山东大学学报(理学版)

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不确定奇异时滞系统的观测器型滑模控制器

李敏1,2,李歧强1   


  1. (1.山东大学控制科学与工程学院, 山东 济南 250061; 2.齐鲁工业大学电气学院, 山东 济南 250353
  • 收稿日期:2013-09-10 出版日期:2014-03-20 发布日期:2014-05-29
  • 作者简介:李敏(1978- ),女,博士研究生,研究方向为奇异系统、时滞系统、多智能体系统. E-mail:ground2005@163.com
  • 基金资助:
    山东省自然科学基金资助项目(ZR2010FZ001)

Observer-based sliding mode control of uncertain singular time-delay systems#br#

LI Min1,2, LI Qi-qiang1   

  1. 1. School of Control Science and Engieering, Shandong University, Jinan 250061, Shandong, China;
    2. School of Electrical Engieering and Automation, Qilu University of Technology, Jinan 250353, Shandong, China
  • Received:2013-09-10 Online:2014-03-20 Published:2014-05-29

摘要: 针对一类带有不匹配不确定性的奇异时滞系统, 建立了基于观测器状态的滑模面和滑模控制器。采用等价控制方法获得滑模运动系统, 给出了其在滑模面上正则、无脉冲模、渐近稳定的充分条件。滑模面及控制器的解可通过锥补迭代算法求解矩阵不等式获得。给出了一个仿真实例验证理论的有效性。

关键词: 不确定奇异时滞系统, 滑模控制器, 观测器

Abstract:  A variable structure control based on the states of observer was proposed for a class of uncertain singular time-delay systems with mismatched unstructured uncertainties. By using the equivalent control approach, the sliding mode dynamics was given. The sufficient condition was introduced such that the sliding mode dynamics is regular, impulsefree, and asymptotically stable. The sliding surface and the controller’s parameterization was obtained by sloving matrix inequlities via cone complementary linearizable iterative algorithm. The numerical simulation provides evidence for its effectiveness and efficiency.

Key words: observer, uncertainty singular timedelay systems, sliding mode controller

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