Open AccessIterative learning control for non‐linear switched discrete‐time systems
Author(s) -
Shao Zhen,
Xiang Zhengrong
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.1230
Subject(s) - iterative learning control , control theory (sociology) , dwell time , lyapunov function , linear system , controller (irrigation) , discrete time and continuous time , iterative method , stability (learning theory) , exponential stability , mathematics , computer science , mathematical optimization , control (management) , nonlinear system , artificial intelligence , medicine , clinical psychology , mathematical analysis , statistics , physics , quantum mechanics , machine learning , agronomy , biology
This study is concerned with the iterative learning controller design for a class of non‐linear switched discrete‐time repetitive systems. First, the definitions of exponential stability and average dwell time in iterative learning control (ILC) systems are introduced, and sufficient conditions for exponential stability of non‐linear switched discrete‐time ILC systems are established by using the methods of common two‐dimensional (2D) Lyapunov function and multiple 2D Lyapunov functions, respectively. Then, the proposed results are used to design the iterative learning controller. Finally, an example is given to illustrate the effectiveness of the proposed results.