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一类一阶控制系数未知非线性系统有限时间镇定(英文) 被引量：2

Finite-time stabilization for a class of first-order nonlinear systems with unknown control direction
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摘要 应用状态反馈和自适应技术,研究了一类一阶控制系数未知非线性系统有限时间镇定.基于Nussbaum增益方法,成功地构造了自适应状态反馈控制器,确保了闭环系统的全局稳定性,并且原系统的状态是有限时间稳定的(其严格证明是借助于著名的罗彼塔法则完成的).仿真算例验证了该方法的有效性. In this paper, the finite time stabilization via state-feedback and adaptive technique was investigated for a class of firstorder nonlinear systems with unknown control direction. Using the Nussbaum gain method, an adaptive state-feedback controller is sueeessfillly constructed, which guarantees the global stabihty of the closed-loop system, and the global finite time stability of the original system state （This was rigorously proven with the help of the celebrated L＇Hospital＇s Rule）. A simulation example was provided to illustrate the effectiveness of the proposed approach.
作者 刘允刚
机构地区 山东大学控制科学与工程学院
出处 《山东大学学报（工学版）》 CAS 北大核心 2009年第3期37-46,共10页 Journal of Shandong University（Engineering Science）
基金 supportedin part bythe National Natural Science Foundation of China under grant 60674036
关键词 非线性系统 未知控制系数 自适应控制 NUSSBAUM增益 有限时间稳定 全局稳定 nonlinear systems unknown control direction adaptive control Nussbaum gain finite time stability globalstability
分类号 O231 [理学—运筹学与控制论]
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参考文献21

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同被引文献47

  • 1辛道义,刘允刚.非线性系统有限时间稳定性分析与控制设计[J].山东大学学报（工学版）,2007,37(3):24-30. 被引量：6
  • 2COUTINHO D,de SOUZA C E.Delay-dependent robust stability and L2-gain analysis of a class of nonlinear time-delay sys-tems[J].Automatica,2008(44):2006-2018.
  • 3FRIDMAN E,DAMBRINE M,YEGANEFAR N.On input-to-state stability of systems with time-delay:a matrix inequalitiesapproach[J].Automatica,2008(44):2364-2369.
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  • 6HE Y,WANG Q,LIN C,et al.Augmented Lyapunov functional and delay-depedent stability criteria for neural systems[J].Internation Journal Robust&nonlinear Control,2005,15(18):923-933.
  • 7KUANG Y.Delay differential equations with applications in population dynamics,mathematics in science and engineering[M].Boston:Academic Press,1993.
  • 8MAZENC F,BLIMAN P.Backstepping design for time-delay nonlinear systems[J].IEEE Transaction Automatic Control,2006,51(1):149-154.
  • 9RICHARD J.Time-delay systems:an overview of some recent advances and open problems[J].Automatica,2003,39(10):1667-1694.
  • 10XU S,LAM J.Improved delay-dependent stability criteria for time-delay systems[J].IEEE Trans Automat Contr,2005,50(3):384-387.

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山东大学学报（工学版）
2009年 第3期

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