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

Chen De-yin; Jin Chao-yong

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

更新时间：2026-05-27

- Decentralized Robust Control of Uncertain Interconnected Large-Scale Discrete Time-Delay System——LMI Approach
- Vol. 24, Issue 3, Pages: 37-41(2007)
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- Online First：10 August 2007，
  
  Published：2007
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陈德银, 金朝永. 不确定离散关联时滞大系统分散鲁棒控制——LMI方法[J]. 广东工业大学学报, 2007, 24(3): 37-41.

Chen De-yin, Jin Chao-yong. Decentralized Robust Control of Uncertain Interconnected Large-Scale Discrete Time-Delay System——LMI Approach[J]. 2007, 24(3): 37-41.
陈德银, 金朝永. 不确定离散关联时滞大系统分散鲁棒控制——LMI方法[J]. 广东工业大学学报, 2007, 24(3): 37-41. DOI：

Chen De-yin, Jin Chao-yong. Decentralized Robust Control of Uncertain Interconnected Large-Scale Discrete Time-Delay System——LMI Approach[J]. 2007, 24(3): 37-41. DOI：

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.

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...

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references

于新刚,崔宝同,华民刚. 时滞不确定关联大系统的鲁棒镇定问题[J]. 江南大学学报. 2006(01)

谢永芳,邓燕妮,桂卫华. 不确定性关联时滞大系统的分散鲁棒镇定[J]. 武汉理工大学学报. 2006(02)

曾怡达,张友刚,肖建. 参数不确定性关联大系统的分散鲁棒镇定的LMI方法[J]. 四川大学学报(自然科学版). 2003(05)

关新平,邬晶,段广仁. 不确定性离散时滞大系统的分散镇定控制[J]. 系统工程与电子技术. 2002(06)

谢永芳,桂卫华,吴敏,陈宁. 不确定性关联时滞大系统的分散鲁棒控制——LMI方法[J]. 控制理论与应用. 2001(02)

俞立. 一类线性离散时滞大系统的分散镇定[J]. 控制理论与应用. 2000(01)

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