Some results on the feedback control of max-plus linear systems under state constrains

Author

Maia, C.A. ; Hardouin, Laurent ; Cury, Jose E. R.

Author_Institution

Dept. de Eng. Eletr., Univ. Fed. de Minas Gerais (UFMG), Belo Horizonte, Brazil

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

6992

Lastpage

6997

Abstract

The aim of this paper is to study a control problem for a class of restriction, which appears in design of feedback controllers for timed discrete event systems, taking performance (eigenvalue of the closed loop matrix) and realization issues into account. The obtained results are based on properties of the system and the restriction matrices. For a given class of theses matrices, it is shown that a causal feedback can be computed by solving linear equations. In order to illustrate the applicability of the results, we solve a small traffic light problem.

Keywords

control system synthesis; discrete event systems; discrete time systems; linear systems; matrix algebra; state feedback; causal feedback; feedback controller design; linear equations; max-plus linear systems; restriction matrices; small traffic light problem; state constrains; timed discrete event systems; Eigenvalues and eigenfunctions; Equations; Feedback control; Linear systems; Mathematical model; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760997

Filename

6760997