Descriptor system techniques in solving H2/infinity-optimal fault detection and isolation problems

Abstract

This chapter illustrates the effectiveness of descriptor systems based algorithms in solving H2/infinity-optimal fault detection and isolation problems. The descriptor system based formulation allows the solution of these problems in the most general setting by eliminating all technical assumptions required when using standard approaches. The underlying numerical algorithms to compute rational nullspace bases, inner-outer factorizations or proper coprime factorizations are based on descriptor system representations and rely on orthogonal matrix pencil reductions. The developed integrated computational approaches fully exploit the structural aspects at each solution step and produce fault detectors of least orders.