引用本文:陈宗基.自适应控制的非自治差分方程的指数稳定性[J].控制理论与应用,1989,6(4):19~25.[点击复制]
Chen Zongji.The Exponential Stability of Nonautonomous Difference Equations for Adaptive Control[J].Control Theory and Technology,1989,6(4):19~25.[点击复制]
自适应控制的非自治差分方程的指数稳定性
The Exponential Stability of Nonautonomous Difference Equations for Adaptive Control
摘要点击 739  全文点击 346  投稿时间:1987-11-16  修订日期:1988-07-06
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DOI编号  
  1989,6(4):19-25
中文关键词  离散时域  自适应控制  指数稳定。
英文关键词  Discrete time, Adaptive control  Exponentially stable.
基金项目  
作者单位
陈宗基 北京航空航天大学自动控制系 
中文摘要
      在某些离散自适应控制问题中,会遇到如下非自治差分方程。其中,p+hT(Iz-A)-1b是严格正实传递函数,w(k)是e(k)和φ(k)的函数。本文给出了这类系统的稳定性分析。结论是:当w(k)充分丰富时,该系统是指数稳定的。
英文摘要
      In discrete time adaptive control problems the following equation has come up. Where, p+hT(Iz-A)-1b is a strictly positive real transfer function, w(k) is the function of e(k) and φ(k). The stability analysis of the system is presented in this paper. It is concluded that if w(k) is sufficiently rich, the system is exponentially stable.