HOMOTOPIC METHOD OF FAULT DIAGNOSIS OF PIECEWISE LINEAR CIRCUITS BASED ON SENSITIVITY MODEL

Artur Robotycki, Romuald Zielonko

Abstract

In the paper a new homotopic method of fault diagnosis of analogue piecewise linear (PWL) circuits based on a large-deviation sensitivity model is presented. Homotopy maps one function <i>f</i>(<i>x</i>) into another <i>g</i>(<i>x</i>) by changing the homotopy parameter <i>t</i>&isin;[0,1]. The idea of the method relies on using the function <i>f</i>(<i>x</i>) to the description of the circuit under test (CUT) in the non-faulty state and the function <i>g</i>(<i>x</i>) to the description of the faulty CUT. For verification of assumed fault hypotheses node homotopic paths are used.<BR /> The method enables localisation and identification of parametric (soft) faults in nonlinear circuits of PWL type. It is simpler in interpretation and calculation and more robust to the influence of CUT element tolerances and voltage errors in comparison with the homotopic method previously proposed by authors. The method is illustrated by the example of single-fault diagnosis of a one-stage transistor amplifier.

Keywords

piecewise linear circuit diagnosis, sensitivity approach, homotopy method

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PWC-2003-TC10-003.pdf

DOI

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IMEKO TC

TC10 - Measurement for Diagnostics, Optimization and Control

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