不确定离散模糊系统的鲁棒H_2/H_∞静态输出反馈控制  

Robust H_2/H_∞ Static Output Feedback Control for Uncertain Discrete-time Fuzzy Systems

作　　者：马清亮[1] 胡昌华[1] 

机构地区：[1]第二炮兵工程学院自动化系,陕西西安710025

出　　处：《模糊系统与数学》2008年第4期99-105,共7页Fuzzy Systems and Mathematics

摘　　要：研究一类不确定离散模糊系统的鲁棒H2/H∞静态输出反馈控制问题。提出一种Lyapunov矩阵与系统矩阵解耦的离散模糊系统混合H2/H∞性能准则;基于该性能准则,以矩阵不等式的形式,给出了鲁棒H2/H∞模糊静态输出反馈控制器存在的充分条件,并给出了最优化模糊控制器设计的迭代线性矩阵不等式(ILMI)算法。The problem of robust H2/H∞ static output feedback control is considered for a class of uncertain discrete-time fuzzy systems. A mixed H2/H∞ performance criterion for discrete-time fuzzy systems is proposed, by separating Lyapunov matrices from system matrices. Based on this, a sufficient condition for the existence of robust H2/H∞ fuzzy static output feedback controller is derived in terms of matrix inequalities. Furthermore, an iterative linear matrix inequalities （ILMI） algorithm is developed to design optimal fuzzy controller.

关 键 词：模糊控制 H2/H∞控制 鲁棒控制 模糊LYAPUNOV函数 迭代线性矩阵不等式(ILMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]