一类不确定网络切换模糊系统的非脆弱控制  

Non-fragile Control of a Class of Uncertain Network Switched Fuzzy Systems

作　　者：梅玉鹏 刘毅 李国燕 潘玉恒 梅树立[2] MEI Yu-peng;LIU Yi;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 Engineer,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：《控制工程》2021年第2期229-236,共8页Control Engineering of China

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：针对一类参数不确定的网络切换模糊系统,在控制器增益存在摄动以及状态不可测的情况下,研究系统的非脆弱控制问题。采用平均驻留时间法、Lyapunov函数法以及线性矩阵不等式技术等,给出网络切换模糊系统指数稳定的平均驻留时间条件以及系统切换律设计,并给出基于观测器的反馈控制器设计方法和使系统指数稳定的矩阵不等式条件,并将此条件转化为求解线性矩阵不等式(LMIS)问题。最后通过仿真实验验证了该设计方法的有效性。The average dwell time condition of the exponential stability for network switched fuzzy system and the system switching law are designed for network switched fuzzy systems with uncertain parameters,in which the controller gain exists perturbation.The nonfragile control problem of the system is studied by means of average dwell time,Lyapunov function method and linear matrix inequality technique.The design method of feedback controller and the matrix inequality condition of exponential stability in the network switched fuzzy systems is also presented.And then the condition is transformed into solving linear matrix inequality(LMIS)problem.Finally,the effectiveness of the proposed method are verified by simulation.

关 键 词：网络控制系统 切换模糊系统 非脆弱控制 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]