基于LMI的连续时间模糊大系统的分散镇定  

Decentralized stabilization of continuous-time fuzzy large-scale systems via LMI method

作　　者：张友刚[1] 向静[2] 肖建[1] 

机构地区：[1]西南交通大学电气工程学院,四川成都610031 [2]西南交通大学经济管理学院,四川成都610031

出　　处：《系统工程与电子技术》2004年第6期773-776,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(69774024)

摘　　要：讨论了连续时间模糊大系统的分散镇定问题。整个模糊大系统由m个相互关联的T-S子模糊系统组成。基于李亚普诺夫稳定性理论及大系统分散控制理论,将单个模糊系统的稳定性条件推广到关联模糊大系统的情形,给出了保证该模糊大系统闭环渐近稳定的分散化并行分布补偿(decentralizedparalleldistributedcompensation,DPDC)控制器的设计方法。这些分散控制器的存在条件均以LMI的形式出现,因此可通过Matlab的LMI工具箱有效地对其进行求解。仿真例子说明了所提方法的有效性。Decentralized stabilization problem of continuous-time fuzzy large-scale systems is considered. A fuzzy large-scale system consists of m interconnected T-S fuzzy subsystems. Based on Lyapunov stability theory and decentralized control theory of large-scale system, sufficient conditions for asymptotic stability of a single fuzzy system are extended to fuzzy large-scale systems, and design metheds of decentralized parallel distributed compensation (DPDC) fuzzy controllers to ensure the asymptotic stability of the whole fuzzy large-scale system are proposed. The existence conditions for these controllers take the forms of LMIs, which can be solved efficiently via LMI toolbox in Matlab software. Finally a simulation example is given to show the utility of the proposed method.

关 键 词：模糊大系统 分散镇定 线性距阵不等式 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]