具有控制时滞的切换模糊系统的输出反馈可靠控制  

Output Feedback Reliable Control of Switched Fuzzy Systems with Controlled Time Delays

作　　者：张乐[1] 贾美玉 蒋文鑫 秦思情 张言赟 ZHANG Le;JIA Meiyu;JIANG Wenxin;QIN Siqing;ZHANG Yanyun(School of Information Engineering,Shenyang University,Shenyang 110044,China)

机构地区：[1]沈阳大学信息工程学院,辽宁沈阳110044

出　　处：《沈阳大学学报（自然科学版）》2020年第1期39-44,共6页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(61004039);辽宁省自然科学基金指导计划项目(20170540647);辽宁省大学生创新创业训练计划项目(110352018028).

摘　　要：基于T-S模糊模型,将切换模糊系统、输出反馈控制与可靠控制结合,提出了一类具有控制时滞的切换模糊系统输出反馈可靠控制模型.针对所提出的切换模糊系统,进行输出反馈可靠控制,使闭环系统渐近稳定.针对执行器“严重失效”,即未失效部分不能镇定原系统,给出输出反馈可靠控制器设计方案,并设计切换律,在执行器未失效部分进行切换,从而实现切换模糊系统一致渐近稳定.利用多Lyapunov稳定性理论、线性矩阵不等式(LMI),给出使得闭环系统一致渐近稳定的充分条件.通过Simulink仿真给出所提出方法控制后的状态曲线和控制曲线,验证了输出反馈可靠控制方法的可行性与有效性.The switched fuzzy system,output feedback control and reliable control were combined based on the T-S fuzzy model and a reliable control model for output feedback of switched fuzzy systems with controlled time delay was proposed.For the proposed switching fuzzy system,the output feedback was reliably controlled,so that the closed-loop system was stabilized.Aiming at the“serious failure”of the actuator,that is,the unexpired part cannot stabilize the original system,the output feedback reliable controller design scheme was given,the switching law was designed,and the non-failure part of the actuator was switched,so that the switched fuzzy system was uniformly asymptotically stable.Using the multily Lyapunov stability theory and linear matrix inequality(LMI),the sufficient conditions for the consistent asymptomatic stability of the closed-loop system were given.The state curve and control curve of the proposed method were given by Simulink simulation,and the feasibility and effectiveness of the output feedback reliable control method were verified.

关 键 词：切换模糊系统 输出反馈可靠控制器 切换律 T-S模糊模型 输出反馈可靠控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]