<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Redundancy Relations for Fault Diagnosis in Nonlinear Uncertain Systems

Institute for Marine Technology Problems, Far Eastern Branch of the Russian Academy of Sciences, Sukhanova 5a, Vladivostok, 690950, Russia

International Journal of Applied Mathematics and Computer Science

{"article-title":"Redundancy Relations for Fault Diagnosis in Nonlinear Uncertain Systems"}

The problem of fault detection and isolation in nonlinear uncertain systems is studied within the scope of the analytical redundancy concept. The problem...

Redundancy Relations for Fault Diagnosis in Nonlinear Uncertain Systems

Published Online: Jan 07, 2008

Page range: 477 - 489

DOI: https://doi.org/10.2478/v10006-007-0040-1

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

This content is open access.

Redundancy Relations for Fault Diagnosis in Nonlinear Uncertain Systems

Published Online: Jan 07, 2008

Page range: 477 - 489

DOI: https://doi.org/10.2478/v10006-007-0040-1

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

This content is open access.

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