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Polynomial Temporal Band Sequences for Analog Diagnosis

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Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence. Diagnosis and Qualitative Reasoning. Pages 474-478.

Abstract

In [Loiez and Taillibert 96a] we proposed a new way to model components and physical quantities in the framework of Model-based Diagnosis applied to analog systems. Components were represented by equations of the form " f+g'=O " where f and g are functions of observable quantities of the system to be diagnosed ; observations were represented by temporal band sequences (sets of consecutive trapezoids encompassing the observations); consistency checking was done by integration. The present paper generalizes the observation representation to temporal bands defined by any polynomial function. It shows that this extension not only allows a better approximation of observations but also that models of components can now be represented by equations relating derivatives of any order (f+g'+h"+ ... =O) and involving any polynomial functions, which improves dramatically the ease of modeling analog systems.

Étienne Loiez, and Patrick Taillibert. 1997. Polynomial Temporal Band Sequences for Analog Diagnosis. In Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence, IJCAI-97. IJCAI, 474–478. https://ijcai.org/proceedings/1997/70
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