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Sliding Mode Observer for Fault Diagnosis: LPV and Takagi–Sugeno Model Approaches

  • Horst SchulteEmail author
  • Florian Pöschke
Chapter
Part of the Mathematical Engineering book series (MATHENGIN)

Abstract

This chapter investigates recently proposed fault reconstruction methods by sliding mode observers defined by two different model classes: linear parameter varying and Takagi–Sugeno models. Both model classes are used to design the sliding mode observers. They may be considered as a polytopic extension of the canonical form restricted to uncertain linear time-invariant systems originally introduced by Edwards and Spurgeon. This approach is best suited for plants which can be thought of as predominantly linear in the characteristics or for nonlinear plants which can be modelled well (at least locally) by linear approximations. For highly nonlinear plants which are operated in a large operating range, a structure restricted to uncertain linear time-invariant systems is not ideal, as the sliding term would then have to capture both: the nonlinear plant dynamics and the influence of the faults. The chapter describes the observer design for linear parameter varying and Takagi–Sugeno models, which are illustrated by the means of the inverted pendulum and the wind turbine benchmark from the literature. Simulation results are shown to demonstrate the capability of the designed observers.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Engineering I, Control EngineeringHTW BerlinBerlinGermany

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