基于输出反馈的一类时滞系统鲁棒H∞容错控制  

Based on a Class of Linear Uncertainty Systems with Multi-time Lags of Output Feedback Robust Fault-tolerant H/infty Controller

作　　者：苏学茹 包俊东[1] SU Xue-ru;BAO Jun-dong(School of Mathematics and Computer Science,Inner Mongolia Normal University,Hohehot 010021,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010021

出　　处：《数学的实践与认识》2020年第8期103-111,共9页Mathematics in Practice and Theory

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

摘　　要：针对状态具有多个时滞的线性不确定性系统,基于李雅普诺夫稳定性理论,矩阵不等式及线性矩阵不等式方法,设计带有多个时滞记忆的输出反馈鲁棒H∞容错控制器.研究了在执行器发生故障的情况下,多时滞不确定性系统的鲁棒H∞容错控制的问题.首先给出了多个时滞记忆的输出反馈鲁棒H∞容错控制器的综合分析,进一步给出参数不确定项的多时滞系统的渐近稳定的充分条件,以及满足给定性能指标鲁棒H∞容错控制器的设计方法.仿真结果证明了该方法的有效性和可行性.Based on Lyapunov stability theory and matrix inequality and linear matrix Inequality(LMI) method,the output feedback robust fault-tolerant H/infity controller with memory is designed for a class of linear uncertainty systems with multi-time lags.The robust fault-tolerant H/infty control problem was researched under the event of actuator failure,Firstly,a sufficient condition that the output feedback robust fault-tolerant H/infity controller with memory is given,Furthermore,a sufficient condition that asymptotic stability of multi-time-delay systems with parameter uncertainties is given.Simulation results show that the method is feasible and effective.

关 键 词：多时滞 不确定性 输出反馈 鲁棒H_∞容错控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]