引用本文:张友刚,向 静,肖 建.基于线性矩阵不等式的参数不确定性关联模糊大系统的分散鲁棒镇定[J].控制理论与应用,2004,21(3):457~462.[点击复制]
ZHANG You-gang, XIANG Jing, XIAO Jian.Linear matrix inequality based robust decentralized stabilization of interconnected fuzzy large-scale systems with parametric uncertainties[J].Control Theory and Technology,2004,21(3):457~462.[点击复制]
基于线性矩阵不等式的参数不确定性关联模糊大系统的分散鲁棒镇定
Linear matrix inequality based robust decentralized stabilization of interconnected fuzzy large-scale systems with parametric uncertainties
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DOI编号  10.7641/j.issn.1000-8152.2004.3.027
  2004,21(3):457-462
中文关键词  模糊大系统  分散鲁棒镇定  线性矩阵不等式(LMI)
英文关键词  fuzzy large-scale system  robust decentralized stabilization  linear matrix inequality (LMI)
基金项目  国家自然科学基金项目(69774024).
作者单位
张友刚,向 静,肖 建 西南交通大学 电气工程学院四川成都 610031西南交通大学 经济管理学院四川成都 610031 
中文摘要
      讨论了参数不确定性关联模糊大系统的分散鲁棒镇定问题,所考虑的参数不确定性满足范数有界条件.基于李雅普诺夫稳定性理论及大系统分散控制理论,采用分散化PDC(parallel distributed compensation)控制器,给出了保证该关联模糊大系统闭环渐近稳定的LMI形式的充分条件,通过MATLAB软件中的LMI工具箱可求解出这些LMI中的控制器参数.仿真例子说明了所提方法的有效性.
英文摘要
      Robust decentralized stabilization problem for interconnected fuzzy large-scale systems with parametric uncertainties is considered. The parametric uncertainties are unknown but norm-bounded. Based on Lyapunov stability theory and decentralized control theory of large-scale system, sufficient conditions for asymptotic stability of the closed-loop fuzzy large-scale system with decentralized PDC (parallel distributed compensation) fuzzy controllers are given. These DPDC controllers can be found by solutions of the LMI-based sufficient conditions via LMI toolbox in MATLAB software. Finally a simulation example is given to show the validity of the proposed method.