Analog multifrequency fault diagnosis

Abstract

This paper develops the multifrequency fault diagnosis problem in the context of a tableau approach based on the use of the Component Connection Model. This method avoids the computation of the composite system transfer function matrix. The resulting fault diagnosis equations have a regular structure with fixed polynomial order (often quadratic) which is exploited in the solution process. The development includes a test for diagnosability as well as a set of bounds on the number of test frequencies necessary to conduct a diagnosis. An iteration scheme to solve the fault diagnosis equations is proposed and is shown to be locally convergent. A sample diagnosis problem and solution concludes the paper.