DocumentCode :
1382737
Title :
An iterative learning control method for continuous-time systems based on 2-D system theory
Author :
Chow, Tommy W S ; Fang, Yong
Author_Institution :
Dept. of Electron. Eng., City Univ. of Hong Kong, Kowloon, Hong Kong
Volume :
45
Issue :
6
fYear :
1998
fDate :
6/1/1998 12:00:00 AM
Firstpage :
683
Lastpage :
689
Abstract :
This work presents a two-dimensional (2-D) system theory based iterative learning control (ILC) method for linear continuous-time multivariable systems. We demonstrate that a 2-D continuous-discrete model can be successfully applied to describe both the dynamics of the control system and the behavior of the learning process. We successfully exploited the 2-D continuous-discrete Roesser´s linear model by extending the ILC technique from discrete control systems to continuous control systems. Three learning rules for ILC are derived. Necessary and sufficient conditions are given for convergence of the proposed learning rules. Compared to the learning rule suggested by Arimoto et al. (1984), our developed learning rules are less restrictive and have wider applications. The third learning rule proposed ensures the reference output trajectory can be accurately tracked after only one learning trial. Three numerical examples are used to illustrate the proposed control procedures
Keywords :
continuous time systems; control system analysis; convergence of numerical methods; iterative methods; learning systems; linear systems; multivariable control systems; 2D continuous-discrete model; 2D system theory; Roesser linear model; continuous-time systems; iterative learning control method; learning rules convergence; linear continuous-time multivariable systems; reference output trajectory tracking; two-dimensional system theory; Control system synthesis; Control systems; Convergence; Iterative algorithms; Iterative methods; MIMO; Mathematical model; Sufficient conditions; Trajectory; Two dimensional displays;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.678496
Filename :
678496
Link To Document :
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