International Journal of applied mathematics and computer science

online read us now

Paper details

Number 4 - December 2007
Volume 17 - 2007

Redundancy relations for fault diagnosis in nonlinear uncertain systems

Alexey Shumsky

Abstract
The problem of fault detection and isolation in nonlinear uncertain systems is studied within the scope of the analytical redundancy concept. The problem solution involves checking the redundancy relations existing among measured system inputs and outputs. A novel method is proposed for constructing redundancy relations based on system models described by differential equations whose right-hand sides are polynomials. The method involves a nonlinear transformation of the initial system model into a strict feedback form. Algebraic and geometric tools are used for this transformation. The features of the method are made particular for uncertain systems with a linear structure.

Keywords
fault detection and isolation, nonlinear systems, redundancy relations, full decoupling, algebraic approach, geometric approach

DOI
10.2478/v10006-007-0040-1