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增广PWA系统的奇异H_∞控制问题 被引量：1

Singular H_∞ Control Problem for Augmented PWA System
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摘要 讨论了PW A增广系统的奇异H∞控制问题.在一些假定和Lyapunov函数的基础上,给出了对于给定系统的奇异H∞控制可控的充要条件. The singular H∞ control problem of augmented piecewise-affine （PWA） systems is considered. Based on some assumptions and constructions of Lyapunov functions, we present necessary and sufficient conditions for the given systems to be singular H∞ controllable.
作者 程桂芳 李镇 丁志帅
机构地区 郑州大学数学系
出处 《数学的实践与认识》 CSCD 北大核心 2007年第2期81-85,共5页 Mathematics in Practice and Theory
基金 河南省教育厅自然科学基础研究资助项目(200510459002)
关键词 奇异H∞控制 LYAPUNOV函数 离散系统 PWA增广系统 singularH∞ control Lyapunov function discrete-time systems augmented piecewise affine （PWA） system
分类号 O231 [理学—运筹学与控制论]
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参考文献6

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同被引文献9

  • 1程桂芳,卜春霞,慕小武.一类非线性离散系统基于有界反馈的奇异H_∞控制问题[J].数学的实践与认识,2006,36(12):180-187. 被引量：2
  • 2Kulev G K , Bainov D D. Strong stability of impulsive systems[J]. Int J Theor Phys , 1988, 277 745-755.
  • 3Joao P H , Liberzon D , Teel A R. On input-to-state stability of impulsive systems[C]. Proceedings of 44th IEEE Conference on Decesion and Control and the European Control Conference, Seville,2005.
  • 4Yao Jing, Guan Zhihong, Chen Guanrong, et al. Stability, robust stabilization and H∞ control of singular-impulsive systems via switching control[J]. Systems and Control Letters, 2006, 55 : 879-886.
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  • 6Francis B A . A course in H∞ control theory[M]. New York: Springer-verlag, 1987.
  • 7Mu Xiaowu, Cheng Guifang. Singular H∞ control problem with finite Lz-gain of nonlinear discrete-time uncertain singular systems with boundedcontroller[J]. Dynamics of Continuous Discrete and Impulsive Systems, Series B: Applications and Algorithms DCDIS Proceedings, 2005( 2): 737-741.
  • 8Van der Schaft A J. On a state space approach to nonlinear H∞ control[J]. Systems and Control Letters, 1991,16:1-8.
  • 9申铁龙.H∞控制理论与应用[M].北京：清华大学出版社,1996..

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数学的实践与认识
2007年 第2期

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