基于T-S模糊模型的多时滞非线性网络切换控制系统非脆弱H∞控制  

Non-fragile H control for multi-delay nonlinear network switching control system based on T-S model

作　　者：刘毅 梅玉鹏 李国燕 潘玉恒 梅树立[2] LIU Yi;MEI Yu-peng;LI Guo-yan;PAN Yu-heng;MEI Shu-li(School of Computer and Information Engineering,Tianjin Chengjian University,Tianjin 300384,China;College of Information and Electrical Engineering,China Agricultural University,Beijing 100083,China)

机构地区：[1]天津城建大学计算机与信息工程学院,天津300384 [2]中国农业大学信息与电气工程学院,北京100083

出　　处：《控制与决策》2021年第5期1087-1094,共8页Control and Decision

基　　金：国家自然科学基金项目(61871380);天津市自然科学基金项目(17JCQNJC00500);天津市科技特派员项目(17JCTPJC50600,18JCTPJC6180);天津市教委科研计划项目(2018KJ174)。

摘　　要：针对一类控制器增益存在摄动的不确定非线性网络切换系统,在系统同时存在随机时变时滞和数据包丢失的情况下,研究系统的非脆弱H∞控制问题.首先,利用T-S模型,将非线性网络切换系统建模为网络切换模糊系统;其次,将数据包丢失作为时滞处理,并采用Bernoulli分布的随机序列描述该时滞;再次,采用平均驻留时间的方法(ADT)设计系统的切换律及非脆弱状态反馈控制器,并给出网络切换模糊时滞系统指数稳定的平均驻留时间条件;最后,结合李雅普诺夫(LKF)方法给出系统均方指数稳定且满足H∞性能指标的充分条件.仿真结果验证了所提出设计方法的有效性.The non-fragile H∞ control problem is studied for the uncertain nonlinear network switching system with random time-varying delay and data packet dropout, in which the controller gain exists perturbation. Firstly, based on the T-S model, the nonlinear network switching system is modeled as a network switch fuzzy system. Then, the packet loss is treated as a time delay, and the time delay is described by the random sequence of Bernoulli distributed. By using the average dwell time(ADT) method, the system switching law and the non-fragile state feedback controller are designed, and the ADT condition of the exponential stability for the network switched fuzzy system is presented. Finally,by combining with Lyapunov(LKF) method, a sufficient condition for the mean square exponential of system stable and satisfying the performance criterion of H∞ is presented. A Matlab numerical simulation verifies the effectiveness of the designed method.

关 键 词：网络控制系统 切换模糊系统 时滞相关 非脆弱H∞控制 平均驻留时间 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]