New LMI formulation for control design of discrete linear repetitive system

Author

Dridi, Jamel ; Ben Attia, Selma ; Salhi, Said ; Ksouri, Moufida

Author_Institution

Lab. of Anal. & Control of Syst. (LACS), Nat. Eng. Sch. of Tunis, Tunis, Tunisia

fYear

2013

fDate

21-23 March 2013

Firstpage

1

Lastpage

6

Abstract

This paper addresses the stability analysis along the pass and the synthesis problem of linear 2D/repetitive systems (i.e. information propagation in two independent directions). A new sufficient condition for the synthesis problem in the case of MIMO is also given for both discrete repetitive linear. A necessary and sufficient condition for analysis and synthesis for discrete repetitive linear MISO systems is presented. These new results are expressed in term of LMI (linear matrix inequalities). Numerical examples are provided to illustrate the effectiveness of the proposed formulations.

Keywords

MIMO systems; control system synthesis; discrete systems; linear matrix inequalities; linear systems; LMI formulation; MIMO system; discrete linear MISO repetitive system control design; linear 2D-repetitive system synthesis problem; linear matrix inequalities; stability analysis; Algorithm design and analysis; Asymptotic stability; MIMO; Numerical stability; Process control; Stability analysis; Sufficient conditions; H∞ control; Iterative Learning Control (ILC); Repetitive processes; linear matrix inequalities; stability along the pass;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering and Software Applications (ICEESA), 2013 International Conference on

Conference_Location

Hammamet

Print_ISBN

978-1-4673-6302-0

Type

conf

DOI

10.1109/ICEESA.2013.6578402

Filename

6578402