时变时滞不确定系统基于观测器的鲁棒控制器设计

关新平, 林志云, 段广仁

关新平, 林志云, 段广仁. 时变时滞不确定系统基于观测器的鲁棒控制器设计[J]. 信息与控制, 1999, 28(3): 161-167.
引用本文: 关新平, 林志云, 段广仁. 时变时滞不确定系统基于观测器的鲁棒控制器设计[J]. 信息与控制, 1999, 28(3): 161-167.
GUAN Xinping, LIN Zhiyun, DUAN Guangren. DESIGN OF OBSERVERBASED ROBUST CONTROLLERS FOR UNCERTAIN SYSTEMS WITH TIMEVARYING DELAY[J]. INFORMATION AND CONTROL, 1999, 28(3): 161-167.
Citation: GUAN Xinping, LIN Zhiyun, DUAN Guangren. DESIGN OF OBSERVERBASED ROBUST CONTROLLERS FOR UNCERTAIN SYSTEMS WITH TIMEVARYING DELAY[J]. INFORMATION AND CONTROL, 1999, 28(3): 161-167.

时变时滞不确定系统基于观测器的鲁棒控制器设计

基金项目: 国家自然科学基金;国家教委跨世纪人才基金
详细信息
    作者简介:

    关新平,35岁,副教授,博士生.研究领域为时滞系统,离散分布参数系统,线性系统和现代控制理论在航天领域中的应用.
    林志云,24岁,硕士生.研究领域为时滞系统,鲁棒控制理论、广义系统理论和现代控制理论在航天领域中的应用.
    段广仁,36岁,教授,博士后.研究领域为线性系统理论,鲁棒控制理论、广义系统理论和现代控制理论在航天领域中的应用.

  • 中图分类号: TP11

DESIGN OF OBSERVERBASED ROBUST CONTROLLERS FOR UNCERTAIN SYSTEMS WITH TIMEVARYING DELAY

  • 摘要: 研究了时变时滞不确定系统基于状态观测器的鲁棒控制器设计问题,其中不确定性是时变的,满足范数有界条件.利用Lyapunov稳定性理论和Razumikhin-type理论,获得了基于状态观测器的鲁棒控制器存在条件,以及给出了相应的控制律.所得结论推广并改进了已知的一些结果.通过实例说明了其有效性.
    Abstract: This paper deals with the problem of observerbased robust control for uncertain linear systems with time-varying delay. The uncertainties are unknown but norm-bounded. By using Lyapunov stability theory and Razumikhin-type theory, a sufficient condition for the system to be stabilizable based on state observer is obtained, and the corresponding cotrol laws are presented. The conclusions extend and improve some results in the literature. Numerical examples are given to illustrate the obtained results.
  • 1 Ge J H,Frank P M,Lin C F. Robust State Feedback Control for Linear Systems with State Delay and Parameter Uncertainty. Automatica,1996,32(8): 1183~1185
    2 Li X,Souza C E D. Criteria for Robust Stability and Stabilization of Uncertain Linear Systems with State Delay. Automatica,1997,33(9):1657~1662
    3 Lien C H,Hsieh J G,Sun Y J. Robust Stabilization for a Class of Uncertian Systems with Multiple Time Delays Via Linear Control. J. Mathematical Anylysis and Applications,1998,218: 369~378
    4 Su H,Chu J,Wang J. A Memoryless Robust Stabilizing Controller for a Class of Uncertain Linear Time-delay Systems. Int. J. Sys. Sci.,1998,29(2): 191~197
    5 程储旺,孙优贤. 时变时滞不确定性系统的状态反馈控制器设计.自动化学报,1998,24(1): 81~84
    6 Shen J C. Designing Stabilizing Controllers and Observers for Uncertain Linear Systems with Time-varying Delay. IEE Proc.-Control Theory Appl.,1997,144(4): 331~333
    7 张明君,孙优贤. 基于观测器的状态和控制输入不确定时滞系统的鲁棒镇定. 信息与控制,1998,27(1): 11~15
    8 朱晓东,孙优贤. 不确定动态时滞系统的基于观测器的鲁棒镇定设计. 控制理论与应用,1996,13(2): 254~258
    9 张明君,毛维杰,孙优贤等. 基于观测器的不确定动态时滞系统鲁棒镇定的 Riccati 方程方 法. 控制理论与应用,1998,15(2): 263~266
    10 卢立磊,高立群,张嗣瀛. 线性时滞不确定系统的强稳定鲁棒控制器设计.信息与控制,1998,27(2): 6~10
    11 Hale J. Theory of Functional Differential Equations. New York:Springer-velag,1977
    12 Cheres E,Palmor Z J,Gutman S. Quantitave Measures of Robustness for Systems Induding Delayed Perturbations. IEEE Trans. Autom. Control,1989,34: 1203~1204
计量
  • 文章访问数:  1310
  • HTML全文浏览量:  3
  • PDF下载量:  122
  • 被引次数: 0
出版历程
  • 收稿日期:  1998-08-11
  • 发布日期:  1999-06-19

目录

    /

    返回文章
    返回
    x