A minimal polynomial basis solution to residual generation for fault diagnosis in linear systems

A fundamental part of a fault diagnosis system is the residual generator. H ere a new method, the minimal polynomial basis approach, for design of resi dual generators for linear systems, is presented. The residual generation p roblem is transformed into a problem of finding polynomial bases for null-s paces of polynomial matrices. This is a standard problem in established lin ear systems theory, which means that numerically efficient computational to ols are generally available. It is shown that the minimal polynomial basis approach can find all possible residual generators and explicitly those of minimal order. (C), 2001 Elsevier Science Ltd. All rights reserved.