广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (03): 37-41.

• 综合研究 • 上一篇    下一篇

不确定离散关联时滞大系统分散鲁棒控制——LMI方法

  

  1. 广东工业大学应用数学学院; 广东工业大学应用数学学院 广东广州510006; 广东广州510006;
  • 出版日期:2007-08-10 发布日期:2007-08-10

Decentralized Robust Control of Uncertain Interconnected Large-Scale Discrete Time-Delay System——LMI Approach

  1. (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China)
  • Online:2007-08-10 Published:2007-08-10

摘要: 考虑了一类满足匹配条件的参数不确定离散关联时滞大系统的分散鲁棒控制问题,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.最后用示例说明此方法的有效性.  

关键词: 离散时滞大系统; 不确定性; 分散鲁棒控制; 线性矩阵不等式;

Abstract: The decentralized robust control problem of a class of uncertain interconnected large-scale discrete time-delay systems,which satisfy the matching conditions is considered.By constructing Lyapunov functions,linear matrix inequality(LMI) is employed.A few sufficient conditions for such large-scale systems are derived.A convex optimization of LMI constraints is formulated to design a decentralized state feedback control with smaller gain parameters,which enables the closed-loop system to be asympt...

Key words: discrete large-scale time-delay systems; uncertainties; decentralized robust control; linear matrix inequality(LMI);

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