Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems | Zendy

Xuhui Bu | Zendy; Fashan Yu | Zendy; Ziyi Fu | Zendy; Fuzhong Wang | Zendy

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Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems

Author(s) -

Xuhui Bu,

Fashan Yu,

Ziyi Fu,

Fuzhong Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/684642

Subject(s) - iterative learning control , nonlinear system , stability (learning theory) , norm (philosophy) , convergence (economics) , mathematics , class (philosophy) , control theory (sociology) , tracking error , iterative method , algorithm , computer science , control (management) , law , artificial intelligence , machine learning , physics , quantum mechanics , political science , economics , economic growth

This paper considers the stability of high-order PID-type iterative learning control law for a class of nonlinear switched systems with state delays and arbitrary switched rules, which perform a given task repeatedly. The stability condition for the proposed high-order learning control law is first established, and then the stability is analyzed based on contraction mapping approach in the sense of λ norm. It is shown that the proposed iterative learning control law can guarantee the asymptotic convergence of the tracking error for the entire time interval through the iterative learning process. Two examples are given to illustrate the effectiveness of the proposed approach

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