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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 19 ›› Issue (2): 200-204.

• 论文 • 上一篇    下一篇

OUTPUT REGULATION OF THE GENERAL NONLINEAR DISCRETE-TIME SYSTEM

李铁成1, 王照林2, 李俊峰2   

  1. 1. Department of Applied Mathematics, Tsinghua University, Beijing 100084, P. R. China;
    2. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China
  • 收稿日期:1996-12-15 修回日期:1998-09-21 出版日期:1999-02-18 发布日期:1999-02-18

OUTPUT REGULATION OF THE GENERAL NONLINEAR DISCRETE-TIME SYSTEM

Li Tiecheng1, Wang Zhaolin2, Li Junfeng 2   

  1. 1.Department of Applied Mathematics, Tsinghua University, Beijing 100084, P. R. China;
    2. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China
  • Received:1996-12-15 Revised:1998-09-21 Online:1999-02-18 Published:1999-02-18

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摘要： With the use of centre manifold and dynamic system theory, the necessary and sufficient conditions are obtained for the solvabilities of the output regulator problems for the general nonlinear discrete-time system.This work generalizes and refines the corresponding results ac Isidori and Byrnes on the affine nonlinear continuous-time system.

关键词: discrete-time system, output regulation, centre manifold, exponentialstability, ω-limit set

Abstract: With the use of centre manifold and dynamic system theory, the necessary and sufficient conditions are obtained for the solvabilities of the output regulator problems for the general nonlinear discrete-time system.This work generalizes and refines the corresponding results ac Isidori and Byrnes on the affine nonlinear continuous-time system.

Key words: discrete-time system, output regulation, centre manifold, exponentialstability, ω-limit set

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