Observer-based Sensor Fault Detectability: About Robust Positive Invariance Approach and Residual Sensitivity

Abid Rahman Kodakkadan, Masoud Pourasghar, Vicenç Puig, Sorin Olaru, Carlos Ocampo-Martinez, Vasso Reppa

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

This paper considers detectability of deviation of sensors from their nominal behavior for a class of linear time-invariant discrete-time systems in the presence of bounded additive uncertainties. Detectable sensor faults using interval observers are analyzed considering two distinct approaches: invariant-sets and classical fault-sensitivity method. It can be inferred from this analysis that both approaches derive distinct formulations for minimum detectable fault magnitude, though qualitatively similar. The core difference lies in the method of construction of the invariant set offline in the former method and the reachable approximation of the convergence set using forward iterative techniques in the latter. This paper also contributes in giving a formulation for minimum fault magnitudes with invariant sets using an observer-based approach. Finally, an illustrative example is used to compare both approaches.

Original languageEnglish
Pages (from-to)5041-5046
JournalIFAC-PapersOnline
Volume50
Issue number1
DOIs
Publication statusPublished - 2017
Externally publishedYes

Keywords

  • Dynamic Models
  • Fault Detection
  • Interval Observers
  • Positive Invariance
  • Sensor Faults

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