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模糊系统时滞相关模糊控制器的设计
引用本文:张果,庄淑君.模糊系统时滞相关模糊控制器的设计[J].北京理工大学学报,2013,33(2):151-154,165.
作者姓名:张果  庄淑君
作者单位:洛阳理工学院电气工程与自动化系,河南,洛阳 471023;洛阳理工学院电气工程与自动化系,河南,洛阳 471023
基金项目:国家"八六三"计划项目(2012AA110302);河南省科技厅科技攻关项目(112400450402);河南教育厅自然科学研究计划项目(2011B120007)
摘    要:对一类带有时变时滞的离散模糊双线性系统,提出了一种基于新型的Lyapunov函数的时滞相关稳定控制器.采用并行分布补偿算法和自由权值矩阵相结合的方法,得到了与时滞有关系统的渐近稳定充分条件.控制器的设计可通过求解一系列线性矩阵不等式(LMI)获得.通过仿真实验验证了所提方法的有效性. 

关 键 词:模糊双线性系统  模糊控制  时滞相关  线性矩阵不等式(LMI)
收稿时间:2011/11/3 0:00:00

Design of Delay-Dependent Fuzzy Controller for Fuzzy Bilinear System
ZHANG Guo and ZHUANG Shu-jun.Design of Delay-Dependent Fuzzy Controller for Fuzzy Bilinear System[J].Journal of Beijing Institute of Technology(Natural Science Edition),2013,33(2):151-154,165.
Authors:ZHANG Guo and ZHUANG Shu-jun
Institution:Department of Electrical Engineering and Automation, Luoyang Institute of Science and Technology, Luoyang, Henan 471023, China
Abstract:For a class of discrete-time fuzzy bilinear systems with delay, a delay-dependent stability controller is designed and analyzed based on a type of new Lyapunov function in this paper. By the combined approaches of parallel distributed compensation (PDC) and free-weighting matrices, some sufficient conditions are derived to guarantee the asymptotically stability. The stabilization conditions of controller are turned into the problem of solving linear matrix inequalities (LMIs), so that the controller design could be accomplished by using Matlab LMI toolbox. A simulation example is provided to demonstrate the effectiveness of the approaches.
Keywords:fuzzy bilinear system  fuzzy control  delay-dependent  linear matrix inequality (LMI)
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