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线性离散切换系统的输出调节问题 被引量：3

Output Regulation of Linear Discrete-time Switched Systems
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摘要 利用多Lyapunov函数方法,研究线性离散切换系统的输出调节问题.在假定每个子系统都不是输出调节问题可解的条件下,分别给出了在全息反馈控制器和误差反馈控制器作用下,这类系统输出调节问题可解的两个充分条件.同时还分别给出了相应的切换律和控制器的设计方案.最后的仿真例子进一步表明了结论的有效性. The output regulation problem is addressed for a class of linear discrete-time switched systems in terms of multiple Lyapunov function method. Under the assumption that the output regulation problem of each individual subsystem is not solvable, two sufficient conditions for the problem to be solvable are derived, based on full information feedback and error feedback. The controllers and the switching laws are simultaneously constructed. Simulation examples show the validity of the results.
作者 宋政一 聂宏 赵军
机构地区 东北大学信息科学与工程学院
出处 《控制与决策》 EI CSCD 北大核心 2006年第11期1249-1252,1274,共5页 Control and Decision
基金 国家自然科学基金项目(60274009 60574013) 博士后基金项目(2005037754) 辽宁省教育厅科研基金项目(2004F100)
关键词 线性离散切换系统 输出调节 全息反馈 误差反馈 Linear discrete-time switched systems Output regulation Full information feedback Error feedback
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献12

  • 1Francis B A.The Linear Multivariable Regulator Problem[J].SIAM J Control Optimization,1977,15(3):486-505.
  • 2Byrnes C I,Isidori A.Output Regulation for Nonlinear Systems:An Overviews[J].Int J Robust Nonlinear Control,2000,33(10):323-337.
  • 3Huang J.Nonlinear Output Regulation:Theory and Applications[M].New York:Springer Verlag,2004:4-24.
  • 4Chen Z,Huang J.Robust Output Regulation with Nonlinear Exosystems[J].Automatica,2005,41(8):1447-1454.
  • 5Savkin A V,Matveev A S.Cyclic Linear Differential Automata:A Simple Class of Hybrid Dynamical Systems[J].Automatica,2000,36(5):727-734.
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二级参考文献5

  • 1Ye H,Mickel N,Hou L.Stability for hybrid systems[].IEEE Transactions on Automatic Control.1998
  • 2Liberzon D,Morse A S.Basic problems in stability and design of switched systems[].IEEE Control Systems Magazine.1999
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  • 5Branicky M S,Borker V S,Mitter S K.A unified framework for hybrid control : Model and optimal control theory[].IEEE Transactions on Automatic Control.1998

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控制与决策
2006年 第11期

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