Dynamic anti-windup synthesis for state delayed systems: an LMI approach

Author

Silva, J. M Gomes da, Jr. ; Bender, F.A. ; Tarbouriech, S. ; Biannic, J-M.

Author_Institution

Dept. of Electr. Eng., UFRGS, Porto Alegre, Brazil

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

6904

Lastpage

6909

Abstract

This paper addresses the dynamic anti-windup synthesis problem for state delayed linear control systems subject to saturating inputs. Based on the Projection Lemma and on a modified sector condition, it is shown that the rational full-order compensator synthesis problem is convex. The computation of the anti-windup compensator aiming at ensuring both Â¿₂ input-to-state stability and internal stability of the closed-loop system are carried out from the solution of linear matrix inequalities (LMIs). In this sense, results both in local (regional) an global contexts of stability are provided.

Keywords

closed loop systems; compensation; control nonlinearities; control system synthesis; delay systems; linear matrix inequalities; linear systems; stability; LMI; closed loop system; dynamic antiwindup compensator synthesis; input-to-state stability; internal stability; linear matrix inequalities; projection lemma; state delayed linear control systems; Actuators; Control system synthesis; Control systems; Degradation; Delay lines; Delay systems; Industrial plants; Linear matrix inequalities; Open loop systems; Stability;

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.2009.5399738

Filename

5399738