A first step towards adaptive control for linear systems in max algebra
type: Item
instance of: scholarly article
title: A first step towards adaptive control for linear systems in max algebra
zbMATH Open document ID: 0976.93057
DOI: 10.1023/A:1008363704766
author: E. Menguy
author: Jean-Louis Boimond
author: Laurent Hardouin
author: Jean-Louis Ferrier
published in: Discrete Event Dynamic Systems
publication date: 2001-01-16T00:00:00Z
review text: By using the max-algebra description of timed event graphs, an adaptive control scheme is developed for coping with mismatches that occur between the dynamics of the real system and its model. The design procedure is formulated as an optimal tracking problem under an equality constraint, being inspired from the classical principles of indirect adaptive control. The approach relies on system identification and inversion, resulting in an algorithm with recursive structure. An example illustrates the validity of the synthesis methodology. A number of problems remain still open for future researches with regard to the estimation of the models for discrete event systems.
reviewed by: Octavian Pastravanu
Mathematics Subject Classification ID: 93C65
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 1553147
zbMATH Keywords: max-algebra
zbMATH Keywords: timed event graphs
zbMATH Keywords: adaptive control
zbMATH Keywords: optimal tracking
zbMATH Keywords: system identification
zbMATH Keywords: inversion
zbMATH Keywords: synthesis
MaRDI profile type: Publication
full work available at URL: a:1008363704766
OpenAlex ID: W1539140425
description: scientific article; zbMATH DE number 1553147