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Actuator Fault Detection for Discrete-Time Descriptor Systems via a Convex Unknown Input Observer with Unknown Scheduling Variables

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  • Javier Martinez
  • Braulio Aguiar
  • Víctor Estrada-Manzo
  • Miguel Bernal

Abstract

This paper presents actuator fault detection of discrete-time nonlinear descriptor systems by means of nonlinear unknown input observers. The approach is based on the exact factorization of the estimation error in order to overcome the well-known problem of unmeasurable scheduling variables within the observation of convex models, thus avoiding the use of Lipschitz constants, differential mean value theorem, or robust techniques. As a result, the designing conditions are cast in terms of linear matrix inequalities and efficiently solved via commercially available software. Numerical as well as academic setups are provided to illustrate the advantages and performance of the proposal.

Suggested Citation

  • Javier Martinez & Braulio Aguiar & Víctor Estrada-Manzo & Miguel Bernal, 2021. "Actuator Fault Detection for Discrete-Time Descriptor Systems via a Convex Unknown Input Observer with Unknown Scheduling Variables," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, March.
    • Handle: RePEc:hin:jnlmpe:8825609
    DOI: 10.1155/2021/8825609
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