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Set-Based Fault Detection and Isolation for Descriptor Systems

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Part of the Springer Theses book series (Springer Theses)

Abstract

This chapter presents set-based FDI strategies for discrete-time descriptor systems. In this chapter, as shown in Fig. 4.1, we apply the set-based framework proposed in Chap. 2 into FDI  [1, 2] for discrete-time descriptor systems. In particular, fault sensitivity should be taken into account for implementing an FD strategy  [3, 4]. In this chapter, we will show two different criteria for achieving fault sensitivity: (i) the one based on a \( \mathcal {H}_{-} \) index and therefore the condition is transformed as an LMI; (ii) the other based on a new defined criterion and algebraic solution is explicitly presented. In the first method, the effects of occurred faults are propagated in the center of state bounding zonotopes while in the second method, those effects are bounded and propagated in the segment matrix of state bounding zonotopes. Besides, the FI strategy is implemented by adopting a bank of zonotopic UIOs.

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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

Authors and Affiliations

  1. 1.Department of Automatic Control, Institut de Robòtica i Informàtica Industrial, CSIC-UPCUniversitat Politècnica de CatalunyaBarcelonaSpain
  2. 2.College of AutomationHarbin Engineering UniversityHarbinP. R. China
  3. 3.Department of Electrical and Electronic EngineeringThe University of MelbourneMelbourneAustralia

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