2-D system theory based iterative learning control for linear continuous systems with time delays

Author

Li, Xiao-Dong ; Chow, Tommy W S ; Ho, John K L

Author_Institution

Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, China

Volume

52

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

1421

Lastpage

1430

Abstract

This paper presents two-dimensional (2-D) system theory based iterative learning control (ILC) methods for linear continuous multivariable systems with time delays in state or with time delays in input. Necessary and sufficient conditions are given for convergence of the proposed ILC rules. In this paper, we demonstrate that the 2-D linear continuous-discrete Roesser´s model can be applied to describe the ILC process of linear continuous time-delay systems. Three numerical examples are used to illustrate the effectiveness of the proposed ILC methods.

Keywords

continuous time systems; delays; discrete systems; iterative methods; learning systems; linear systems; multivariable control systems; 2D system theory; continuous-discrete Roesser model; iterative learning control; linear continuous systems; multivariable systems; necessary condition; sufficient conditions; time delays; Continuous time systems; Control system synthesis; Control systems; Delay effects; Delay lines; Delay systems; Iterative methods; MIMO; Mathematical model; Two dimensional displays; Iterative control; linear continuous multivariable system; time delay; two-dimensional (2-D) system theory;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2005.851706

Filename

1487670