华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (5): 98-106.

• 计算机科学 • 上一篇    下一篇

变时滞互联项不确定大系统的分散自适应控制 (英)

许建强1, 2, 陈树中1   

  1. 1. 华东师范大学 计算机系, 上海 200062; 2. 上海应用技术学院 数理教学部, 上海 200233
  • 收稿日期:2006-04-21 修回日期:2006-09-13 出版日期:2007-09-25 发布日期:2007-09-25
  • 通讯作者: 许建强

Decentralized Adaptive Control for Uncertain Large-Scale Systems with Time-Varying Delays in the Interconnections(English)

XU Jian-qiang 1, 2 , CHEN Shu-zhong 1   

  1. 1. Department of Computer Science and Technology, East China Normal University, Shanghai 200062, China ; 2. Center of Mathematics and Physics Teaching, Shanghai Institute of Technology, Shanghai 200233, China
  • Received:2006-04-21 Revised:2006-09-13 Online:2007-09-25 Published:2007-09-25
  • Contact: XU Jian-qiang

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摘要： 研究了一类含变时滞互联项并同时具有匹配和不匹配不确定性的大系统的分散自适应控制问题. 假定互联项满足匹配条件和线性增长条件, 但增益未知; 同时假定匹配不确定性和扰动是有界的, 但上界未知. 采用自适应率来估计这些未知的界, 并结合LMI方法,
设计了一种分散鲁棒自适应控制器. 基于Lyapunov稳定性理论和Lyapunov-Krasovskii型泛函证明了此控制器使得闭环系统的 状态最终一致趋于零. 最后给出一个仿真例子说明结论的有效性.

关键词: 不确定大系统, 时变时滞, LMI, Lyapunov-Krasovskii 型泛函, 分散自适应控制, 不确定大系统, 时变时滞, LMI, Lyapunov-Krasovskii 型泛函, 分散自适应控制

Abstract: The problem of decentralized adaptive control was
considered for a class of uncertain large-scale time-varying delays
systems in the presence of mismatched and matched uncertainties. The
interconnections were assumed to satisfy the match condition and be
bounded by a linear function of delayed states with unknown gains.
The upper bounds of the matching uncertainties and perturbations
were also assumed to be unknown. The adaptation laws were proposed
to estimate such unknown bounds, and by making use of the LMI
method, a class of decentralized robust adaptive controllers was
constructed. Based on the Lyapunov stability theory and
Lyapunov-Krasovskii functional, it was shown that the state
trajectories of the large-scale systems were uniformly
asymptotically to zero. Finally, a numerical example was given to
demonstrate the validity of the results.

Key words: time-varying delay, linear matrix inequalities, Lyapunov-Krasovskii functional, decentralized adaptive control, uncertain large-scale systems, time-varying delay, linear matrix inequalities, Lyapunov-Krasovskii functional, decentralized adaptive control

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