基于non-PDC算法的T-S模糊时滞系统的控制  

Control for T-S Fuzzy Time-delay Systems Based on non-PDC Algorithm

作　　者：周坤[1] 黄天民[2] 齐淑楠 ZHOU Kun;HUANG Tian-min;QI Shu-nan(School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China;School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China;School of Computer science and Technology,Zhoukou Normal University, Zhoukou 466001,China)

机构地区：[1]西南交通大学电气工程学院,四川成都610031 [2]西南交通大学数学学院,四川成都611756 [3]周口师范学院计算机科学与技术学院,河南周口466001

出　　处：《模糊系统与数学》2018年第2期11-17,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61473239);中央高校基本科研专项基金资助项目(2682014ZT28)

摘　　要：针对一类T-S模糊模型描述的非线性时滞系统,提出了基于非并行分布补偿(non-PDC)算法的模糊状态反馈控制方法。为了减少保守性,选择一个新的二重积分不等式,用以处理求导LyapunovKrasovskii泛函所得的积分项。不同于并行分布补偿(PDC)算法,本文给出的基于non-PDC算法的模糊状态反馈控制器不要求与模糊模型分享共同的隶属函数或者相同的模糊规则数目,因此具有更大的设计灵活性。为了进一步减少non-PDC算法带来的保守性,考虑隶属函数的边界信息,同时引入适当的松弛变量。最后给出卡车拖车模型的仿真实例,证明了所提方法的有效性。To a class of nonlinear time-delay systems which are represented by T-S fuzzy models, fuzzy state feedback controllers based on non-parallel distributed compensation （non-PDC） algorithm are proposed. In order to reduce conservatism, a new double integral inequality is selected to deal with the integral term in the derivative of the Lyapunov-Krasovskii functional. It is different from parallel distributed compensation （PDC） algorithm, this paper presents a more flexible fuzzy controller design strategy under the non-PDC algorithm that the fuzzy controllers do not employ the identical member- ship functions or the identical quantity of rules as the fuzzy models. The border information of the membership functions is considered to decrease conservation brought from non-PDC algorithm, in addition, some relaxation factors are introduced appropriately. Lastly, a simulation example of the truck-trailer model is given to illustrate the effectiveness of the proposed approach.

关 键 词：T-S模糊模型 非线性时滞系统 非并行分布补偿(non-PDC)算法 积分不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]