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

ZENG  Ai-Hua; JIN  Chao-Yong; REN  Jian-Gong; CHEN   Jun

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

更新时间：2026-05-27

- Decentralized Robust Stabilization for a Class of Large-Scale Delay-Dependent Systems with Bounded Persistent Disturbances
- Vol. 27, Issue 2, Pages: 71-76(2010)
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- Online First：25 June 2010，
  
  Published：2010
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曾爱华, 金朝永, 任建功, 陈君. 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[J]. 广东工业大学学报, 2010, 27(2): 71-76.

ZENG Ai-Hua, JIN Chao-Yong, REN Jian-Gong, et al. Decentralized Robust Stabilization for a Class of Large-Scale Delay-Dependent Systems with Bounded Persistent Disturbances[J]. 2010, 27(2): 71-76.
曾爱华, 金朝永, 任建功, 陈君. 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[J]. 广东工业大学学报, 2010, 27(2): 71-76. DOI：

ZENG Ai-Hua, JIN Chao-Yong, REN Jian-Gong, et al. Decentralized Robust Stabilization for a Class of Large-Scale Delay-Dependent Systems with Bounded Persistent Disturbances[J]. 2010, 27(2): 71-76. DOI：

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．

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．

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