Optimal closed-loop control of timed EventGraphs in dioids

Author

Maia, C.A. ; Hardouin, L. ; Santos-Mendes, R. ; Cottenceau, B.

Author_Institution

Departamento de Engenharia Eletrica, Univ. Fed. de Minas Gerais, Belo Horizonte, Brazil

Volume

48

Issue

12

fYear

2003

Firstpage

2284

Lastpage

2287

Abstract

This note deals with the model-reference control of timed event graphs using the dioid algebra and the residuation theory. It proposes a control structure based on a precompensator and a feedback controller to improve the controlled system performance. It is shown that this approach always leads to an optimal behavior of the closed-loop system. An example is given to illustrate the proposed approach.

Keywords

Petri nets; algebra; closed loop systems; discrete event systems; feedback; graphs; just-in-time; model reference adaptive control systems; optimal control; closed-loop control; closed-loop system; dioid algebra; discrete-event dynamic system; feedback controller; just-in-time control; model-reference control; optimal control; precompensator; residuation theory; timed Petri nets; timed event graphs; Adaptive control; Algebra; Application software; Computer aided manufacturing; Control systems; Discrete event systems; Optimal control; Petri nets; Stability; System performance;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2003.820666

Filename

1254106