引用本文:高文华,邓飞其.凸多面体不确定随机时滞系统的参数依赖状态反馈控制[J].控制理论与应用,2011,28(2):235~241.[点击复制]
GAO Wen-hua,DENG Fei-qi.Parameter-dependent state feedback control for stochastic delay-varying systems with polytopic-type uncertainties[J].Control Theory and Technology,2011,28(2):235~241.[点击复制]
凸多面体不确定随机时滞系统的参数依赖状态反馈控制
Parameter-dependent state feedback control for stochastic delay-varying systems with polytopic-type uncertainties
摘要点击 1973  全文点击 1401  投稿时间：2009-10-29  修订日期：2010-03-24
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DOI编号  10.7641/j.issn.1000-8152.2011.2.CCTA091368
  2011,28(2):235-241
中文关键词  随机系统  时滞  凸多面体不确定性  鲁棒镇定  参数依赖控制器
英文关键词  stochastic systems  time-delay  polytopic-type uncertainties  robust stabilization  parameter-dependent controller
基金项目  国家自然科学基金资助项目(60874114).
作者单位E-mail
高文华* 华南理工大学 理学院 数学系 whgao@scut.edu.cn 
邓飞其 华南理工大学 自动化科学与工程学院  
中文摘要
      考虑了凸多面体不确定随机时滞系统的参数依赖状态反馈控制问题. 把参数相关的Lyapunov-Krasovskii泛函方法和自由权矩阵方法相结合, 得到了基于线性矩阵不等式(LMI)的时滞相关及参数相关的鲁棒镇定的充分条件. 由于在引入自由权矩阵时, 减少了所用的自由矩阵数目, 使得给出的参数依赖的控制器更易于实现. 最后用例子说明了结果的有效性.
英文摘要
      The parameter-dependent state feedback control problem for stochastic delay-varying systems with polytopictype uncertainties is discussed. Based on parameter-dependent Lyapunov-Krasovskii functional and free-weighting matrix method, some delay-dependent and parameter-dependent stabilization conditions are presented in terms of linear matrix inequalities. Since the number of free-weighting matrices is reduced when introducing free-weighting matrices, the given parameter-dependent controller is easier to be implemented. Finally, the simulation example shows that the result is efficient.