Open AccessIterative learning control design method for linear discrete‐time uncertain systems with iteratively periodic factors
Author(s) -
Zhu Qiao,
Hu GuangDa,
Liu WeiQun
Publication year - 2015
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.2014.1367
Subject(s) - iterative learning control , control theory (sociology) , parametric statistics , discrete time and continuous time , controller (irrigation) , mathematics , boundary (topology) , iterative method , linear system , linear matrix inequality , tracking (education) , design methods , mathematical optimization , computer science , control (management) , engineering , artificial intelligence , mechanical engineering , psychology , mathematical analysis , pedagogy , statistics , agronomy , biology
In this study, a two‐dimensional (2D) H ∞ ‐based method is presented for the iterative learning control (ILC) design problem of a class of linear discrete‐time systems with iteratively periodic factors, including initial states, parametric uncertainties, disturbances, measurement noises, and reference trajectories. First, the ILC design problem of the linear systems is described as a controller design problem of 2D uncertain Roesser models. Second, the H ∞ performance of 2D Roesser models is studied under a general boundary condition. Third, an ILC design criterion is presented to achieve the perfect tracking and specified H ∞ performance by using linear matrix inequality approaches. Finally, a numerical example is given to illustrate the efficiency of the proposed ILC design method.