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

Guangfu Deng and Huihong Zhao

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-13

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:867206

DOI: 10.1155/2015/867206

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