Abstract
The aim of this paper is to present a design method for low-order solutions to a range of fault detection and identification problems. The theoretical results are developed in an H∞ framework, using results from linear algebra. The design procedure mainly comprises two stages. In the first stage, the parameterised set of all fixed order solutions of the fault detection problem is obtained. In the second stage an optimisation problem is solved to determine the free parameter such that the disturbance attenuation and the fault identification requirements are accomplished. A numerical example demonstrates the effectiveness of the proposed method and a comparison of results illustrates the dependence of the performances on the order of the solution.
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