Using 2D systems theory to design iterative learning control laws with multiple reference signals

Author

Bochniak, Jacek ; Galkowski, Krzysztof ; Rogers, Eric

Author_Institution

Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Zielona Gora, Poland

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

4876

Lastpage

4881

Abstract

In this paper a 2D systems setting is used to develop new results on iterative learning control for linear plants in the case when there are multiple reference signals. The algorithms for control law design are developed using a strong form of stability for discrete linear repetitive processes known as stability along the pass. The resulting design computations are in terms of linear matrix inequalities (LMIs).

Keywords

adaptive control; control system synthesis; discrete time systems; iterative methods; learning systems; linear matrix inequalities; linear systems; stability; system theory; 2D systems theory; discrete linear repetitive processes; iterative learning control law design; linear matrix inequalities; linear plants; multiple reference signals; Algorithm design and analysis; Control systems; Convergence; Iterative algorithms; Linear matrix inequalities; Robots; Signal design; Stability; Symmetric matrices; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399605

Filename

5399605