Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.820666
