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Fractional‐order iterative learning control for fractional‐order linear systems
Author(s) -
Li Yan,
Chen YangQuan,
Ahn HyoSung
Publication year - 2011
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.253
Subject(s) - iterative learning control , integer (computer science) , convergence (economics) , lti system theory , order (exchange) , iterative method , mathematics , iterative and incremental development , control theory (sociology) , matlab , invariant (physics) , computer science , linear system , fractional order system , scheme (mathematics) , mathematical optimization , fractional calculus , control (management) , artificial intelligence , mathematical analysis , software engineering , finance , economics , mathematical physics , programming language , economic growth , operating system
In this paper, we discuss in time domain the convergence of the iterative process for fractional‐order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional‐order and integer‐order iterative learning schemes are proved to be equivalent for D =0. It has been proved by theory and verified by MATLAB / SIMULINK that the tracking speed is the fastest when the system and iterative learning scheme have the same fractional order. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society