Auxiliary signal design for failure detection   in differential-algebraic equations

Jason R. Scott; Stephen Campbell

doi:10.3934/naco.2014.4.151

Article Contents

2014, Volume 4, Issue 2: 151-179. Doi: 10.3934/naco.2014.4.151

This issue Previous Article A weighted-path-following method for symmetric cone linear complementarity problems Next Article

Auxiliary signal design for failure detection in differential-algebraic equations

Jason R. Scott^1, and
Stephen Campbell^1,

1.
Department of Mathematics, North Carolina State University, Raleigh, North Carolina, 27695-8205

Received: January 2014

Revised: April 2014

Published: April 2014

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Abstract

Fault detection and identification (FDI) are important tasks in most modern industrial and mechanical systems and processes. Many of these systems are most naturally modeled by differential-algebraic equations (DAE). This paper addresses active fault detection in DAE. A technique is presented to calculate an auxiliary test signal guaranteeing detection, assuming bounded additive noise. An efficient real time detection algorithm is also provided as are example simulations. The extension to model uncertainty is discussed.

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Mathematics Subject Classification: Primary: 49N90; Secondary: 49J21, 34A09.

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