广东工业大学学报 ›› 2010, Vol. 27 ›› Issue (2): 71-76.

• 综合研究 • 上一篇    下一篇

持续有界扰动下一类不确定时变时滞大系统的分散鲁棒镇定

  

  1. 1.广东工业大学应用数学学院,广东广卅l 510006;2.惠州市仲恺中学,广东惠州516029
  • 出版日期:2010-06-25 发布日期:2010-06-25
  • 作者简介:曾爱华(1983-),女,硕士研究生,主要研究方向为微分动力系统

Decentralized Robust Stabilization for a Class of Large-Scale Delay-Dependent Systems with Bounded Persistent Disturbances

  1. 1.Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 5 10006,China;
    2.ZhongKai Middle School,Huizhou 516029,China)
  • Online:2010-06-25 Published:2010-06-25

摘要: 考虑了一类持续有界扰动下时变时滞大系统的分散鲁棒镇定问题,通过构造lyapunov函数,利用线性矩阵不等式知识,提出了此类大系统可分散镇定的充分条件.通过求解一凸优化问题,给出具有较小反馈增益的分散稳定化状态反馈控制律的设计方法.通过一组数值算例证明了这种方法的有效性.

关键词: 大系统;时变时滞;不确定性;持续有界扰动;分散鲁棒镇定

Abstract: The decentralized robust stabilization problem with a class of large-scale delay-dependent systems,is bounded persistent disturbance.By constructing Lyapunov functions,the linear matrix inequality(LMI)was employed.A few sufficient conditions for such large-scale systems were derived.A convex optimization of LMI constraints was formulated to design a decentralized state feedback control with smaller gain parameters,which enables the closed.1oop system to be asymptotically stable.Th e given example verifies the effectiveness of the method.

Key words: large-scale systems;delay-dependent;uncertainties;bounded persistent disturbances;decentralized robust stabilzation

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