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应用科学学报 ›› 2009, Vol. 27 ›› Issue (3): 299-304.

• 控制与系统 • 上一篇    下一篇

奇异系统的终端滑模变结构控制

         

  1. 1. 广西大学计算机与电子信息学院，南宁530004
    2. 广西大学数学与信息科学学院，南宁530004
  • 收稿日期:2008-10-22 修回日期:2009-03-16 出版日期:2009-05-28 发布日期:2009-05-28
  • 作者简介:梁家荣，教授，博士，研究方向：广义控制系统、人工智能与智能控制，E-mail: liangjr@gxu.edu.cn

Terminal Sliding Mode Control of Singular Systems

  1. 1. School of Computer and Electronic Information, Guangxi University, Nanning 530004, China
    2. School of Mathematics and Information Science, Guangxi University, Nanning 530004, China
  • Received:2008-10-22 Revised:2009-03-16 Online:2009-05-28 Published:2009-05-28
  • Supported by:

    国家自然科学基金(No.60564001)；教育部“新世纪优秀人才支持计划”专项基金(No.06-0756)资助项目

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被引次数

2

摘要：

        研究了奇异系统的终端滑模变结构控制问题. 通过线性非奇异变换将奇异系统化为受限等价形式，在此基础上提出了一种指数型非线性滑动超曲面，并给出相应的控制律. 研究表明，其闭环系统渐近稳定，同时系统的状态变量能够在有限时间内到达平衡点. 试验验证了该设计方法的合理性和有效性.

关键词: 奇异系统 , 终端滑模 , 有限时间收敛 , 平衡点

Abstract:

     The problem of terminal sliding mode control of singular systems is studied in this paper. Singular systems are transformed into equivalent forms with a nonsingular linear transformation. An exponential terminal sliding hypersurface and the corresponding controller are presented. The results show that, with this design, asymptotic stability of closed-loop systems is guaranteed while the system state variable can arrive at an equilibrium point in a finite time period. Numerical examples show that the designing method is reasonable and effective.

Key words: singular systems , terminal sliding mode , finite time convergence , equilibrium point

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