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Sliding Mode Observers for Fault Detection

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Fault Detection and Fault-Tolerant Control Using Sliding Modes

Part of the book series: Advances in Industrial Control ((AIC))

Abstract

This chapter considers sliding modes applied to the problem of observer design. The historical development is outlined leading to the description of a specific class of sliding mode observer which will be used throughout the book. It will be shown how the unique properties associated with the so-called equivalent injection signal necessary to maintain sliding can be exploited to reconstruct actuator and sensor faults modelled as additive perturbations to the inputs and the outputs of the plant. Design methodologies based on Linear Matrix Inequalities (LMIs) are presented. These approaches exploit all the available degrees of freedom associated with the choice of the observer gains. The chapter describes sliding mode observers which can reconstruct faults and yet be robust to disturbances/uncertainties which may corrupt the quality of the reconstructions resulting from mismatches between the model about which the observer is designed and the real system. Initially, the design method is formulated for the case of actuator faults. A comparison is also made between the sliding mode observer schemes developed in the chapter and more traditional linear unknown input observers which are prevalent in the literature.

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Notes

  1. 1.

    In the following simulations full state feedback u(t)=Fx(t) where F=[1 −1] has been employed so that λ(A+BF)={±1.4142i}. The reason for this choice of closed-loop eigenvalues is that the states will be oscillatory, and the tracking of the states can be observed if desired.

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Author information

Authors and Affiliations

  1. Department of Engineering, University of Leicester, University Road, LE1 7RH, Leicester, UK

    Dr. Halim Alwi & Prof. Christopher Edwards

  2. School of Engineering, Monash University Sunway Campus, Jalan Lagoon Selatan, Bandar Sunway, 46150, Selangor, Malaysia

    Dr. Chee Pin Tan

Authors
  1. Dr. Halim Alwi
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  2. Prof. Christopher Edwards
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  3. Dr. Chee Pin Tan
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Correspondence to Halim Alwi .

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© 2011 Springer-Verlag London Limited

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Alwi, H., Edwards, C., Tan, C.P. (2011). Sliding Mode Observers for Fault Detection. In: Fault Detection and Fault-Tolerant Control Using Sliding Modes. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-0-85729-650-4_4

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  • DOI: https://doi.org/10.1007/978-0-85729-650-4_4

  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-649-8

  • Online ISBN: 978-0-85729-650-4

  • eBook Packages: EngineeringEngineering (R0)

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