Brief paper: Parity relations for linear uncertain dynamic systems

Authors:
Stéphane Ploix;Olivier Adrot
Affiliations:
Laboratoire d'Automatique de Grenoble, INPG, UJF, UMR 5528, BP 46, F-38402 Saint Martin d'Hères Cedex, France;Laboratoire d'Automatique de Grenoble, INPG, UJF, UMR 5528, BP 46, F-38402 Saint Martin d'Hères Cedex, France
Venue:
Automatica (Journal of IFAC)
Year:
2006

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Abstract

A new approach for the design of parity relations for linear dynamic systems with additive and multiplicative uncertainties is presented. Instead of cancelling uncertainties following the example of the so-called robust approaches, uncertain parity relations take uncertainties into account as bounded variables. The method is based on the analysis of zonotopes representing the uncertainties. It leads both to Boolean detection results and to an indicator representing the distance to the opposite decision.