International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Friday Afternoon

Session FA2: Structural Invariants


Chair: J. M. Dion - France
Co-chair: Christophe Suer - France
Room: Montevideo
2007-10-19
From 13:30 to 15:30
Causality of the Residual Structure
Cristina Verde; Sylviane Gentil; Marino Sánchez-Parra
Contact: Cristina Verde - Mexico
13:50-14:10
Abstract:
This paper discusses some issues associated to the generation of the residual structure for fault detection and isolation using graph theory tools. In particular, the residual structure is shown invariant with respect to a reduced number of complete matchings of the graph. The knowledge of cause and effect variables allows a reduction of matchings to span the residual structure which can be robust to specific constraints. Moreover, the paper shows that a dynamic graph obtained from a state space realization generates a causal residual structure as well, and then no additional conditions are required in the matching process to get causal residuals. Copyright © 2007 IFAC.