Journal of Systems Engineering and Electronics ›› 2013, Vol. 35 ›› Issue (5): 1070-1074.doi: 10.3969/j.issn.1001-506X.2013.05.29

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P-type iterative learning control of fractional order nonlinear time-delay system

LAN Yong-hong1，HE Lü-jun1，HUANG Hui-xian1, LUO Yi-ping2   

  1. 1. Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education, Xiangtan University, Xiangtan 411105, China；
    2. Institute of Intelligent Control, Hunan Institute of Engineering, Xiangtan 411101，China
  • Online:2013-05-21 Published:2010-01-03

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Abstract:

A P-type iterative learning control (ILC）scheme for a class of fractional order nonlinear time-delay systems is presented. First, using properties of the fractional differential calculus and the generalized Gronwall inequality, a norms based inequality for systems state is derived. Second, by introducing the λ-norm, the sufficient conditions for the convergence of the control input and the tracking errors under openloop and closedloop P-type ILC are obtained, which have less conservative compared with the existing results. Finally, the validity of the proposed method are verified by a numerical example.

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