17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper ThA11.3

Bisiacco, Mauro (Univ. of Padova), Valcher, Maria Elena (Univ. of Padova)

Fault Detection and Isolation of Two-Dimensional Systems

Scheduled for presentation during the Mini-Symposium "Multidimensional systems: Algebraic and behavioral approaches" (ThA11), Thursday, July 27, 2006, 11:15−11:40, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Keywords Multidimensional systems, Observers, Algebraic systems theory

Abstract

In this paper, the fault detection and isolation problem for two-dimensional (2D) state-space models is investigated in a rather general setting, by assuming that disturbances may affect the system. In a recent contribution, a complete theory of dead-beat (possibly unknown input) observer-based fault detectors and isolators (FDIs) has been developed. Here the wider class of 2D FDIs, which allow to detect and identify possible faults, without requiring a preliminary state estimation, is introduced, and necessary and sufficient conditions for the existence of a dead-beat FDI are derived. Constructive procedures for obtaining such FDIs, and comparisons with the results previously obtained, are also provided.