引用本文:孙敏慧,邹云 ,徐胜元.随机马尔可夫切换系统的H∞模型降阶[J].控制理论与应用,2006,23(2):268~274.[点击复制]
SUN Min-hui,ZOU Yun,XU Sheng-yuan.H-infinity model reduction for stochastic systems with Markovian jump parameters and time delay[J].Control Theory and Technology,2006,23(2):268~274.[点击复制]
随机马尔可夫切换系统的H∞模型降阶
H-infinity model reduction for stochastic systems with Markovian jump parameters and time delay
摘要点击 2004  全文点击 1115  投稿时间：2005-01-26  修订日期：2005-07-29
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DOI编号  
  2006,23(2):268-274
中文关键词  Markov过程  随机系统  均方渐近稳定  H∞模型降阶  CCL方法  时滞系统
英文关键词  Markov chain  stochastic system  H-infinity model reduction  CCL method  uncertainty
基金项目  国家自然科学基金资助项目(60304001,60474078,60574015); 全国博士学位论文作者专项资金项目(200240)
作者单位
孙敏慧,邹云 ,徐胜元 南京理工大学自动化系,江苏南京210094 
中文摘要
      考虑一类带有时滞的不确定马尔可夫切换系统的H∞模型降阶问题.首先得到了一个矩阵不等式形式的充分条件,使该系统的H∞模型降阶问题对于满足条件的任意不确定性都是可解的;然后依据CCL(cone complementarity linearization)方法给出了该问题的求解算法,以及降阶模型的参数化方法.仿真算例说明该方法的有效性.
英文摘要
      The H-infinity model reduction problem for a class of uncertain Markovian jump systems with time-varying state delay is considered in this paper.The goal is the construction of a reduced-order model such that the associated model error satisfies a prescribed H-infinity norm bound constraint.A sufficient condition for the existence of desired reduced-order model is presented in terms of matrix inequalities.The cone complementarity linearization(CCL) method is then suggested to solve the matrix inequalities.With the numerical solutions of the matrix inequalities,an explicit parameterization of the desired reduced-order models is also presented.