基于输出反馈的分布时滞不确定系统的鲁棒H∞容错控制  

Robust H∞ fault tolerant control for uncertain linear systems withdistributed time-varying delay based on output feedback

作　　者：苏学茹 包俊东[1] SU Xueru;BAO Jundong(School of Mathematics Science,Inner Mongolia Normal University,Hohhot 010000,China;School of Information Engineering,Pioneer College of Inner Mongolia University,Hohhot 010000,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010000 [2]内蒙古大学创业学院信息工程学院,内蒙古呼和浩特010000

出　　处：《高师理科学刊》2020年第3期1-9,共9页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金项目(11561053);内蒙古师范大学十百千人才工程项目(PCRY-2-2012-K-037);内蒙古自治区研究生教育创新计划资助项目(S2018111966Z);内蒙古师范大学研究生科研创新基金资助项目(CXJJS18070,CXJJS19096)。

摘　　要：针对一类分布时变时滞的线性不确定性系统,基于Lyapunov-Krasovskii泛函、线性矩阵不等式和自由权矩阵的方法,在执行器发生故障的情况下,研究系统的鲁棒H∞容错控制问题.设计鲁棒输出反馈H∞容错控制器,使得分布时变时滞系统是鲁棒渐近稳定的,并满足H∞性能指标.用数值算例结果证明了该分布时变时滞系统与输出反馈律所组成的闭环系统具有有效性和可行性.A class of linear uncertainty system with distributed time-varying delay is studied.Based on the method of Lyapunov-Krasovskii function,linear matrix inequality and free weight matrix,system robust H∞ fault-tolerant controller is studied under the case of actuator failure.Output feedback H∞ fault-tolerant controller is designed,such that the distributed time-delay system is robust asymptotic stable,and satisfies the H∞ performance index.In the final,the numerical results show that the closed-loop system composed of the distributed time-varying delay system and the output feedback law firm is effective and feasible.

关 键 词：分布时滞 自由权矩阵 输出反馈 渐近稳定 

分 类 号：O231.3[理学—运筹学与控制论]