<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>This paper presents a constrained decomposition methodology with output injection to obtain decoupled partial models. Measured process outputs and decoupled partial model outputs are used to generate structured residuals for Fault Detection and Isolation (FDI). An algebraic framework is chosen to describe the decomposition method. The constraints of the decomposition ensure that the resulting partial model is decoupled from a given subset of inputs. Set theoretical notions are used to describe the decomposition methodology in the general case. The methodology is then detailed for discrete-event model decomposition using pair algebra concepts, and an extension of the output injection technique is used to relax the conservatism of the decomposition.</p></abstract>

This paper presents a constrained decomposition methodology with output injection to obtain decoupled partial models. Measured process outputs and decoupled partial model outputs are used to generate structured residuals for Fault Detection and Isolation (FDI). An algebraic framework is chosen to describe the decomposition method. The constraints of the decomposition ensure that the resulting partial model is decoupled from a given subset of inputs. Set theoretical notions are used to describe the decomposition methodology in the general case. The methodology is then detailed for discrete-event model decomposition using pair algebra concepts, and an extension of the output injection technique is used to relax the conservatism of the decomposition.

Algebraic approach for model decomposition: Application to fault detection and isolation in discrete-event systems

Automatic Control Laboratory, LAMIH, University of Valenciennes (UVHC), Bât. Malvache, Le Mont Houy, 59313 Valenciennes cedex 9, France

Automatic Control Laboratory, LAGIS, Polytech'Lille, Lille 1 University, 59655 Villeneuve d'Ascq, France

Institute for Marine Technology Problems, Far Eastern Branch of the Russian Academy of Sciences, 5a Sukhanova St, Vladivostok, 690600, Russia

International Journal of Applied Mathematics and Computer Science

This paper presents a constrained decomposition methodology with output injection to obtain decoupled partial models. Measured process outputs and decoupled...

Algebraic approach for model decomposition: Application to fault detection and isolation in discrete-event systems

Published Online: Mar 28, 2011

Page range: 109 - 125

DOI: https://doi.org/10.2478/v10006-011-0008-z

Keywords
algebraic approaches, decomposition methods, decoupling, discrete-event systems

This content is open access.

Algebraic approach for model decomposition: Application to fault detection and isolation in discrete-event systems

Published Online: Mar 28, 2011

Page range: 109 - 125

DOI: https://doi.org/10.2478/v10006-011-0008-z

Keywordsalgebraic approaches, decomposition methods, decoupling, discrete-event systems

This content is open access.

Keywords
algebraic approaches, decomposition methods, decoupling, discrete-event systems