ROBUST H∞ FAULT DETECTION FOR UNCERTAIN LDTV SYSTEMS USING KREIN SPACE APPROACH

This paper deals with the problem of robust H∞ fault detection for a class of linear discrete time-varying systems with norm bounded model uncertainty. A generalized unknown input is introduced to represent the model uncertainty and, based on this, an observer-based fault detection filter (FDF) with accommodation of unknown input and fault is proposed. Then the problem of robust fault detection is formulated in a framework of finite horizon H∞ filtering and the design of robust H∞-FDF is converted into a minimum problem of indefinite quadratic form. A sufficient and necessary condition for the minimum is derived by using a Krein space approach and a solution to the H∞FDF is obtained by computation of Riccati recursions. A numerical example is given to illustrate the effectiveness of the proposed method.

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