2.845

2023影响因子

(CJCR)

  • 中文核心
  • EI
  • 中国科技核心
  • Scopus
  • CSCD
  • 英国科学文摘

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

具有输入时滞的随机前馈非线性系统的状态反馈镇定

解学军 赵丛然

解学军, 赵丛然. 具有输入时滞的随机前馈非线性系统的状态反馈镇定. 自动化学报, 2014, 40(12): 2972-2976. doi: 10.3724/SP.J.1004.2014.02972
引用本文: 解学军, 赵丛然. 具有输入时滞的随机前馈非线性系统的状态反馈镇定. 自动化学报, 2014, 40(12): 2972-2976. doi: 10.3724/SP.J.1004.2014.02972
XIE Xue-Jun, ZHAO Cong-Ran. State Feedback Stabilization of Stochastic Feedforward Nonlinear Systems with Input Time-delay. ACTA AUTOMATICA SINICA, 2014, 40(12): 2972-2976. doi: 10.3724/SP.J.1004.2014.02972
Citation: XIE Xue-Jun, ZHAO Cong-Ran. State Feedback Stabilization of Stochastic Feedforward Nonlinear Systems with Input Time-delay. ACTA AUTOMATICA SINICA, 2014, 40(12): 2972-2976. doi: 10.3724/SP.J.1004.2014.02972

具有输入时滞的随机前馈非线性系统的状态反馈镇定

doi: 10.3724/SP.J.1004.2014.02972
基金项目: 

Supported by National Natural Science Foundation of China (61273125, 61473171), Program for the Scientific Research Innovation Team in Colleges and Universities of Shandong Province, Shandong Provincial Natural Science Foundation (ZR2012FM018)

State Feedback Stabilization of Stochastic Feedforward Nonlinear Systems with Input Time-delay

Funds: 

Supported by National Natural Science Foundation of China (61273125, 61473171), Program for the Scientific Research Innovation Team in Colleges and Universities of Shandong Province, Shandong Provincial Natural Science Foundation (ZR2012FM018)

More Information
    Corresponding author: XIE Xue-Jun
  • 摘要: 针对一类具有输入时滞的随机前馈非线性系统, 首次研究了它的状态反馈镇定问题. 首先引入一个变量变换, 将其与齐次占优方法巧妙结合, 通过构造合适的 Lyapunov-Krasovskii 泛函, 设计了一个状态反馈控制器, 使得闭环系统的平衡点依概率全局渐近稳定.
  • [1] Krstić M, Deng H. Stabilization of Nonlinear Uncertain Systems. New York: Springer-Verlag, 1998.
    [2] Deng H, Krstić M, Williams R J. Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. IEEE Transactions on Automatic Control, 2001, 46(8): 1237-1253
    [3] Mao X R. Stochastic Differential Equations and Their Applications. Chichester: Horwood Publishing, 2007.
    [4] Fu Y S, Tian Z H, Shi S J. Output-feedback stabilization for a class of stochastic time-delay nonlinear systems. IEEE Transactions on Automatic Control, 2005, 50(6): 847-850
    [5] Liu S J, Ge S Z, Zhang J F. Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays. International Journal of Control, 2008, 81(8): 1210-1220
    [6] Liu L, Xie X J. Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay. Automatica, 2011, 47(12): 2772-2779
    [7] Xie X J, Liu L. Further result on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay. Automatica, 2012, 48(9): 2577-2586
    [8] Xie X J, Liu L. A homogeneous domination approach to state feedback of stochastic high-order nonlinear systems with time-varying delay. IEEE Transactions on Automatic Control, 2013, 58(2): 494-499
    [9] Qian C J. A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems. In: Proceedings of the 2005 American Control Conference. Portland, USA: IEEE, 2005. 4708-4715
    [10] Liu L, Xie X J. State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay. Automatica, 2013, 49(4): 936-942
    [11] Zhao C R, Xie X J. Global stabilization of stochastic high-order feedforward nonlinear systems with time-varying delay. Automatica, 2014, 50(1): 203-210
    [12] Michiels W, Niculescu S I. Stability and Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach. Singapore: SIAM, 2007.
    [13] Liu S J. Controller Design for Stochastic Nonlinear Systems and Performance Analysis of the Closed-Loop Systems [Ph. D. dissertation], Chinese Academy of Sciences, China, 2009. (in Chinese)
    [14] Zhang X F. Stabilization of Nonlinear Time-Delay Systems in Triangular Form [Ph. D. dissertation], Shandong University, China, 2005. (in Chinese)
    [15] Zhang X F, Cheng Z L. Output feedback stabilization of nonlinear systems with delays in the input. Applied Mathematics and Computation, 2005, 167(2): 1026-1040
    [16] Zhang X F, Boukas E K, Liu Y G, Baron L. Asymptotic stabilization of high-order feedforward systems with delays in the input. International Journal of Robust and Nonlinear Control, 2010, 20(12): 1395-1406
    [17] Khalil H K. Nonlinear Systems. Beijing: Publishing House of Electronics Industry, 2007.
  • 加载中
计量
  • 文章访问数:  1476
  • HTML全文浏览量:  72
  • PDF下载量:  790
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-12-13
  • 修回日期:  2014-06-18
  • 刊出日期:  2014-12-20

目录

    /

    返回文章
    返回