引用本文:魏红昀,陈文德,王永骥.极小极大加系统(F,G,H)的输出反馈镇定[J].控制理论与应用,2009,26(9):937~941.[点击复制]
Wei Hong-yun,chenwende,WANG Yong-ji.Output Feedback Stabilization for Min-Max-Plus Systems(F,G,H)[J].Control Theory and Technology,2009,26(9):937~941.[点击复制]
极小极大加系统(F,G,H)的输出反馈镇定
Output Feedback Stabilization for Min-Max-Plus Systems(F,G,H)
摘要点击 2170  全文点击 2499  投稿时间:2008-07-22  修订日期:2008-12-12
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DOI编号  10.7641/j.issn.1000-8152.2009.9.CCTA080777
  2009,26(9):937-941
中文关键词  极小极大加函数  能达性  能观性  着色图  输出反馈镇定
英文关键词  min-max-plus function  reachability  observability  coloring graph  output feedback stabilization
基金项目  
作者单位E-mail
魏红昀 华中科技大学控制科学与工程系中南民族大学计算机科学学院 hywei2005@163.com 
陈文德* 中国科学院数学与系统科学院系统科学研究所 wdchen@iss.ac.cn 
王永骥 华中科技大学 控制科学与工程系, 湖北 武汉 430074  
中文摘要
      研究了一般化非自治非线性极小极大加系统的输出反馈镇定问题. 首先, 提出了闭环系统单极大射影系统表达式. 其次, 研究指出闭环单极大射影子系统存在严格的颜色匹配关系. 接着, 针对颜色匹配的复杂情况, 提出新的着色图构造. 以往对闭环单极大射影子系统中出现的新增圈研究, 仅涉及含有一条反馈弧的圈, 本文指出新增圈中可能包含由多条反馈弧构成的圈. 最后, 根据新着色图和新增圈特点得到了系统输出反馈镇定的一个充分条件.
英文摘要
      The problem of output feedback stabilization for the general nonlinear,non-autonomous min-max-plus system is studied in this paper, and some new results of non-linear discrete event dynamic systems are described. First, max-plus projection system representation for the closed-loop system with min-max-plus output feedback is proposed. Second, the closed-loop max-plus projection system has strict color match requirements is pointed out. Then, based on the complexity of the color match requirements, a new coloring graph structure is presented. The former researchs were only considered new circuits which were arised by one feedback edge in closed-loop max-plus projection system, in this paper,it is pointed out that more feedback edges could be included in the new circuits. Finally, a sufficient condition for output feedback stabilization of min-max-plus system is obtained according to new coloring graph and new circuits characteristics.