不确定离散关联时滞大系统分散鲁棒控制——LMI方法  

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

作　　者：陈德银[1] 金朝永[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510006

出　　处：《广东工业大学学报》2007年第3期37-41,共5页Journal of Guangdong University of Technology

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.The decentralized robust control problem of a class of uncertain interconnected large-scale discrete timedelay 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 asymptotically stable. The given example shows the method is available.

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 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]