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Fault Detection for Linear Discrete Time-Varying Descriptor Systems with Missing Measurements

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  • Guangfu Deng
  • Huihong Zhao

Abstract

This paper deals with the problem of fault detection for a class of linear discrete time-varying descriptor systems with missing measurements, and the missing measurements are described by a Bernoulli random binary switching sequence. We first translate the fault detection problem into an indefinite quadratic form problem. Then, a sufficient and necessary condition on the existence of the minimum is derived. Finally, an observer-based fault detection filter is obtained such that the minimum is positive and its parameter matrices are calculated recursively by solving a matrix differential equation. A numerical example is given to demonstrate the efficiency of the proposed method.

Suggested Citation

  • Guangfu Deng & Huihong Zhao, 2015. "Fault Detection for Linear Discrete Time-Varying Descriptor Systems with Missing Measurements," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-13, October.
    • Handle: RePEc:hin:jnddns:867206
    DOI: 10.1155/2015/867206
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