时滞模糊系统的鲁棒非脆弱H_∞控制  

Robust and non-fragile H_∞ control of delay-dependent fuzzy systems

作　　者：郭岗[1,2] 牛文生[3] 崔西宁[1,3] 

机构地区：[1]西安电子科技大学计算机学院,陕西西安710071 [2]洛阳师范学院信息技术学院,河南洛阳471022 [3]中国航空计算技术研究所,陕西西安710068

出　　处：《华中科技大学学报（自然科学版）》2009年第12期68-71,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国防基础科研项目(C0520061364)

摘　　要：针对一类带有时变时滞的不确定模糊系统,研究了时滞相关鲁棒非脆弱H∞反馈控制问题.基于模糊李亚普诺夫-克拉索夫斯基泛函和并行分布补偿算法(PDC)设计了模糊控制器,并在推导过程中引入了自由权制矩阵,使得在控制器存在可加性摄动的情况下,其闭环系统鲁棒渐近稳定.利用线性矩阵不等式(LMI),导出了非脆弱鲁棒控制律的存在条件.仿真验证了结果的有效性.A delay-dependent robust H∞ non-fragile control was studied for a class of uncertain T-S fuzzy systems with time-varying delay. By introducing free-weighting matrices, a delay-dependent robust non-fragile controller was designed via a fuzzy Lyapunov-Krasovkii functional and the parallel distributed compensation （PDC） approach, such that the closed-loop systems was robust asymptotically stable in the presence of the additive controller gain perturbations. A sufficient condition for the existence of such robust non-fragile controller was derived via the linear matrix inequality （LMI）. The simulation examples are given to show the effectiveness of the approach.

关 键 词：模糊控制系统 鲁棒控制 时滞系统 线性矩阵不等式 T—S模型 非脆弱控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]