引用本文:谢立, 刘济林, 许晓鸣.不确定多重时滞随机中立系统鲁棒H∞控制[J].控制理论与应用,2006,23(6):923~928.[点击复制]
XIE Li, LIU Ji-lin, XU Xiao-ming.Robust H-infinity control for uncertain stochastic neutral systems with multiple time delays[J].Control Theory and Technology,2006,23(6):923~928.[点击复制]
不确定多重时滞随机中立系统鲁棒H∞控制
Robust H-infinity control for uncertain stochastic neutral systems with multiple time delays
摘要点击 1696  全文点击 1151  投稿时间：2004-07-29  修订日期：2006-01-12
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DOI编号  
  2006,23(6):923-928
中文关键词  随机中立系统  多重时滞  线性矩阵不等式  随机鲁棒镇定  鲁棒H∞控制
英文关键词  stochastic neutral systems  multiple time delays  linear matrix inequality  stochastic robust stabilization  robust H-infinity control
基金项目  国家自然科学基金重点资助项目(60534070); 国家973项目(2002CB312200).
作者单位
谢立, 刘济林, 许晓鸣 浙江大学信息与电子工程系, 浙江杭州310027
上海交通大学自动化系, 上海200030 
中文摘要
      针对一类不确定多重时滞随机中立系统, 研究了鲁棒H∞控制设计问题. 该随机中立系统的状态项、控制项、微分项、外部干扰输入项均含有时滞, 系统中的不确定性满足广义匹配条件. 首先, 利用随机Lyapunov稳定性理论和Ito微分法则, 推导出系统的随机鲁棒可镇定的充分条件. 在此基础上, 进一步给出了鲁棒H∞控制器存在的充分条件. 本文的研究结果以线性矩阵不等式的形式给出, 仿真结果表明了此控制器设计方法的有效性.
英文摘要
      The robust H-infinity control problem for uncertain stochastic neutral systems with multiple time delays is investigated in this paper. The parameter uncertainties in the systems are assumed to satisfy the generalized matching conditions, while the time delays exist in state, control, measure output, exogenous disturbance input and derivative state simultaneously. Firstly, stochastic robust stabilizable criterion is developed via Ito differential rule based on stochastic Lyapunov stability theory. A sufficient condition is then derived for the existence of robust H-infinity control law. All the results are expressed in terms of linear matrix inequality. Finally, a numerical example is given to show that the results are valid.