Journal of South China University of Technology (Natural Science Edition) ›› 2013, Vol. 41 ›› Issue (9): 46-50.doi: 10.3969/j.issn.1000-565X.2013.09.008

• Electronics, Communication & Automation Technology • Previous Articles     Next Articles

Robust Monotonically- Convergent Iterative Learning Control for Uncertain Discrete Linear Systems

Li Zhi- fu1，2 Hu Yue- ming2   

  1. 1.School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510640,Guangdong,China; 2.Engineering Research Center for Precision Electronic Manufacturing Equipments of theMinistry of Education,South China University of Technology,Guangzhou 510640,Guangdong,China
  • Received:2013-03-11 Revised:2013-04-07 Online:2013-09-25 Published:2013-08-01
  • Contact: 李致富(1981-)，男，博士后，助理研究员，主要从事智能材料驱动控制、非线性控制和精密电子制造技术研究． E-mail:sundylzf@gmail.com
  • About author:李致富(1981-)，男，博士后，助理研究员，主要从事智能材料驱动控制、非线性控制和精密电子制造技术研究．
  • Supported by:

    国家 “863” 计划项目 (2012AA041312);国家自然科学基金资助项目(61203060)

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Abstract:

Aiming at a class of uncertain discrete linear systems with non- zero constant initial errors,a robust monotonically- convergent iterative learning control (ILC) strategy is proposed.In this strategy,first,the above control problem is converted into a H∞ disturbance attenuation problem of one- dimension system.Then,the stability analysis of the system is presented and the sufficient conditions of the robust monotonic convergence are put forward in the form of linear matrix inequality (LMI).Simulation results show that the proposed ILC scheme can ensure the monotonic convergence of the output error in the sense of 2- norm.The effectiveness of the proposed scheme is thus verified.

Key words: iterative learning control, uncertain linear system, monotonic convergence, robust control, linearmatrix inequality