Fault detection and isolation in nonlinear systems

Research output: Contribution to journalArticle

80 Citations (Scopus)

Abstract

This paper deals with fault detection and identification in dynamic systems when the system dynamics can be modeled by smooth nonlinear differential equations including affine, bilinear or linear parameter varying (LPV) systems. Two basic approaches will be considered, these apply differential algebraic and differential geometric tools. In the differential algebraic approach the state elimination methods will be used to derive nonlinear parity relations. In the specific case when a reconstruction of the fault signal is needed the dynamic inversion based approach will be investigated. This approach will also be studied from geometric point of view. The geometric approach, as proposed by Isidori and De Persis, is suitable to extend the detection filter and unknown input observer design approaches (well elaborated for LTI systems) to affine nonlinear systems. Beyond the development of the theory of fault detection and identification it is equally important to offer computable methods and to analyze the robustness properties against uncertainties. Both the observer based and the inversion based approaches will be elaborated for LPV systems that may offer computational tools inherited from linear systems and also allow to design for robustness utilizing results from H robust filtering and disturbance attenuation.

Original languageEnglish
Pages (from-to)113-123
Number of pages11
JournalAnnual Reviews in Control
Volume33
Issue number2
DOIs
Publication statusPublished - Dec 2009

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Fault detection
Nonlinear systems
Dynamical systems
Linear systems
Identification (control systems)
Differential equations
Uncertainty

Keywords

  • Failure detection
  • LPV systems
  • Nonlinear systems

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering

Cite this

Fault detection and isolation in nonlinear systems. / Bokor, J.; Szabó, Z.

In: Annual Reviews in Control, Vol. 33, No. 2, 12.2009, p. 113-123.

Research output: Contribution to journalArticle

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