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应用科学学报 ›› 2001, Vol. 19 ›› Issue (4): 313-316.

• 论文 • 上一篇    下一篇

具有指数收敛速率的时滞系统采样迭代学习控制

方忠1, 陈彭年2, 韩正之1   

  1. 1. 上海交通大学自动化系, 上海 200030;
    2. 中国计量学院数学组, 浙江杭州 310034
  • 收稿日期:2000-09-19 修回日期:2001-01-16 出版日期:2001-12-31 发布日期:2001-12-31
  • 作者简介:方忠(1974-),男,浙江义乌人,博士生;韩正之(1947-),男,浙江慈溪人,教授,博导.
  • 基金资助:
    国家自然科学基金资助项目(69874025)

Sampled-data Iterative Learning Control with an Exponential Convergence Rate for Time-delay Systems

FANG Zhong1, CHEN Peng-nian2, HAN Zheng-zhi1   

  1. 1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China;
    2. Division of Mathematics, China Institute of Metrology, Hangzhou 310034, China
  • Received:2000-09-19 Revised:2001-01-16 Online:2001-12-31 Published:2001-12-31

PDF

83

被引次数

5

摘要： 针对具有状态时滞的连续时间系统提出一种采样迭代学习控制算法,可以避免连续系统D型和P型算法的不足.给出并证明了算法指数收敛的充分条件,该条件可保证系统跟踪误差能以指数收敛速率收敛至一个与采样周期相关的误差范围内.

关键词: 采样迭代学习控制, 时滞系统, 指数收敛

Abstract: A sampled-data iterative learning algorithm is proposed for a class of continuous time systems with state delay. Sufficient conditions for exponential convergence of the algorithm are presented and proven by the induction. Exponential convergence is achieved not only at every sampling instant but the entire time span.

Key words: delayed systems, exponential convergence, sampled-data iterative learning control

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