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基于输出反馈的一类时滞系统鲁棒H∞容错控制
引用本文:苏学茹,包俊东.基于输出反馈的一类时滞系统鲁棒H∞容错控制[J].数学的实践与认识,2020(8):103-111.
作者姓名:苏学茹  包俊东
作者单位:内蒙古师范大学数学科学学院
基金项目: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.

关 键 词:多时滞  不确定性  输出反馈  鲁棒H_∞容错控制器

Based on a Class of Linear Uncertainty Systems with Multi-time Lags of Output Feedback Robust Fault-tolerant H/infty Controller
SU Xue-ru,BAO Jun-dong.Based on a Class of Linear Uncertainty Systems with Multi-time Lags of Output Feedback Robust Fault-tolerant H/infty Controller[J].Mathematics in Practice and Theory,2020(8):103-111.
Authors:SU Xue-ru  BAO Jun-dong
Institution:(School of Mathematics and Computer Science,Inner Mongolia Normal University,Hohehot 010021,China)
Abstract: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.
Keywords:multi-time lags  uncertainty  output feedback  robust H/infity fault-tolerant controller
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