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Iterative Learning Control for a Class of Fractional Order Distributed Parameter Systems
Author(s) -
Lan YongHong,
Liu Li,
Luo YiPing
Publication year - 2020
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.1908
Subject(s) - iterative learning control , convergence (economics) , control theory (sociology) , mathematics , stability (learning theory) , scheme (mathematics) , type (biology) , gronwall's inequality , class (philosophy) , exponential stability , tracking (education) , computer science , control (management) , mathematical optimization , nonlinear system , inequality , artificial intelligence , mathematical analysis , psychology , ecology , pedagogy , physics , quantum mechanics , machine learning , economics , biology , economic growth
This paper concerns a second‐order P‐type iterative learning control (ILC) scheme for a class of fractional order linear distributed parameter systems. First, by analyzing of the control and learning processes, a discrete system for P‐type ILC is established and the ILC design problem is then converted to a stability problem for such a discrete system. Next, a sufficient condition for the convergence of the control input and the tracking errors is obtained by using generalized Gronwall inequality, which is less conservative than the existing one. By incorporating the convergent condition obtained into the original system, the ILC scheme is derived. Finally, the validity of the proposed method is verified by a numerical example.