Rss Email Alert
期刊订阅| 联系我们
高级搜索
高级搜索
首页 > 过刊浏览>2021年第36卷第11期 >2812-2816. DOI:10.13195/j.kzyjc.2020.0304
PDF HTML阅读 XML下载 导出引用 引用提醒
基于Razumikhin方法的时变时滞非线性系统的输出反馈镇定
作者:
作者单位:

鲁东大学 数学与统计科学学院,山东 烟台 264025

通讯作者:

E-mail: cumt_wtc@163.com.

中图分类号:

TP273

基金项目:

国家自然科学基金项目(61973150).


Output-feedback stabilization for nonlinear systems with time-varying delay based on Razumikhin-type approach
Author:
Affiliation:

School of Mathematics and Statistical Science,Ludong University,Yantai 264025,China

  • 摘要
    • | |
  • 访问统计
    • |
  • 参考文献 [15]
    • |
  • 相似文献 [20]
    • | | |
  • 文章评论
    摘要:

    针对一类时变时滞非线性系统,采用Razumikhin方法研究其输出反馈控制问题.利用时滞系统的Razumikhin定理和反推设计方法,通过设计有效的观测器和选取适当的Lyapunov函数,构造系统的输出反馈控制器.所设计的控制器能够保证闭环系统的平衡点是全局渐近稳定的,所给出的方法无需考虑时滞导数的限制,改进了以前所得结果.仿真示例验证了所设计输出反馈控制器的有效性.

    Abstract:

    The Razumikhin-type approach is introduced to solve the output-feedback stabilization problem for a class of nonlinear systems with time-varying delay. By using the Razumikhin-type theorem and the backstepping design method, effective observers and suitable Lyapunov functions, an output-feedback controller is constructed to ensure the origin of a closed-loop system globally asymptotically stable. The limitations on the derivative of delay can be completely removed, which is the common assumption of nonlinear systems with time-varying delay. A simulation example illustrates the effectiveness of the output-feedback controller.

    参考文献
    [1] Hales J K, Lunel S M L V.Introduction to functional differential equations[M].New York: Springer-Verlag, 1993: 126-140.
    [2] Gu K, Kharitonov V L, Chen J.Stability of time-delay systems[M].Boston: Birkhauser, 2003: 82-124.
    [3] Qian C J, Lin W.Smooth output feedback stabilization of planar systems without controllable/observable linearization[J].IEEE Transactions on Automatic Control, 2002, 47(12): 2068-2073.
    [4] Michiels W, Niculescu S L.Stability and stabilization of time-delay systems: An eigenvalued-basedapproach[M].Philadelphia: SIAM, 2007: 91-130.
    [5] 王天成,李刚.基于Razumikhin方法的随机时变时滞非线性系统的状态反馈[J].控制与决策, 2015, 30(8): 1519-1522.(Wang T C, Li G.State feedback of stochastic nonlinear systems with time-varying delay base on Razumikhin-type approach[J].Control and Decision, 2015, 30(8): 1519-1522.)
    [6] Nguang S K.Robust stabilization of a class of time-delay nonlinear systems[J].IEEE Transactions on Automatic Control, 2000, 45(4): 756-762.
    [7] Wang T C, Luo X X, Li W Q.Razumikhin-type approach on state feedback of stochastic high-order nonlinear systems with time-varying delay[J].International Journal of Robust and Nonlinear Control, 2017, 27(12): 3124-3134.
    [8] Xie X J, Liu L.A homogeneous domination approach to state feedback of stochastic high-order nonlinear systemswith time-varying delay[J].IEEE Transactions on Automatic Control, 2013, 58(2): 494-499.
    [9] Xie L, He X, Xiong G.Decentralized output feedback stabilization for large scale stochastic nonlinear system with time delays[J].Control Theory & Applications, 2003,20(6): 825-830.
    [10] Li Y F, Zhang L L, Hua C C, et al.Output feedback control for stochastic nonlinear time delay systems using dynamic gain technique[J].Journal of the Franklin Institute, 2018, 355(2): 1073-1087.
    [11] Liu L, Xie X J.Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay[J].Automatica, 2011, 47(12): 2772-2779.
    [12] Zhai J, Karimi H.Global output feedback control for a class of nonlinear systems with unknown homogeneous growth condition[J].International Journal of Robust and Nonlinear Control, 2019, 29(7): 2082–2095.
    [13] Li Z H, Long L J, Zhao J.Linear output-feedback-based semi-global stabilization for switched nonlinear time-delay systems[J].Journal of the Franklin Institute,2019, 356(13): 7224-7245.
    [14] Chen C C, Sun Z Y.Output feedback finite-time stabilization for high-order planar systems with an output constraint[J].Automatica, 2020, 114: 108843.
    [15] Zhou H Q, Zhai J Y.Adaptive output feedback control for a class of nonlinear time-varying delay systems[J].Applied Mathematics and Computation, 2020, 365: 124692.}
    引证文献
    网友评论
    网友评论
    分享到微博
    发 布
引用本文

王天成,王妍,庄迪.基于Razumikhin方法的时变时滞非线性系统的输出反馈镇定[J].控制与决策,2021,36(11):2812-2816

复制
分享
文章指标
  • 点击次数:285
  • 下载次数: 713
  • HTML阅读次数: 640
  • 引用次数: 0
历史
  • 在线发布日期: 2021-09-26
  • 出版日期: 2021-11-20
文章二维码

办公地点：东北大学 综合楼313室

通讯地址：沈阳市和平区文化路3巷11号 东北大学125信箱 《控制与决策》编辑部(110819)

收件人：《控制与决策》编辑部 (如果快递，请选择EMS或顺丰快递，其他快递无法送达。)

电话: 024-83687766，23906437

版权所有 :控制与决策

技术支持：北京勤云科技发展有限公司

E-mail: kzyjc@mail.neu.edu.cn

版权所有 :控制与决策

技术支持：北京勤云科技发展有限公司