基于LMI的一类非线性时滞关联大系统的分散模糊控制  

Decentralized fuzzy control for a class of nonlinear interconnected large-scale systems with time-delay based on LMI approach

作　　者：韩安太[1] 王树青[1] 

机构地区：[1]浙江大学先进控制研究所,浙江杭州310027

出　　处：《控制与决策》2004年第4期416-419,428,共5页Control and Decision

基　　金：国家自然科学基金资助项目(N60174035).

摘　　要：针对一类采用Takagi-Sugeno模糊模型描述的非线性时滞关联大系统,研究其分散模糊状态反馈控制器设计问题;利用Lyapunov稳定性分析理论和线性矩阵不等式等工具,得到了闭环系统的可镇定条件和相应的分散模糊状态反馈控制器;在此基础上,通过求解具有线性矩阵不等式组约束的凸优化问题,给出了具有较小反馈增益的分散模糊控制器设计方法.The problem of decentralized fuzzy state-feedback controller design for a class of nonlinear interconnected large-scale systems with control and state time-delay is considered based on the Takagi-Sugeno fuzzy models. The stabilizing conditions of closed-loop fuzzy system are obtained and the decentralized fuzzy state-feedback controller is designed through Lyapunov stability analysis theory and linear matrix inequality respectively. Based on that, a convex optimization problem with LMI constraints is formulated to design a decentralized fuzzy state-feedback controller with smaller gain parameters which can stabilize the controlled system.

关 键 词：模糊控制 分散控制 时滞 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]