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

Abstract EN

This paper deals with the problem of H ∞ 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 H ∞ 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 H ∞ 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.