Adaptive Reliable H∞ Filtering in the Presence of Sensor Failures

This paper is concerned with the adaptive reliable H∞ filtering problem against sensor failures for continuous-time linear systems. An adaptive H∞ performance index is defined to describe the disturbance attenuation performance of systems with time-varying parameter estimations. By combining the linear matrix inequality (LMI) approach for H∞ filter design and adaptive method, a method of designing adaptive reliable H∞ filters is proposed, where the filter parameter matrices are updating automatically to compensate the sensor fault effects on systems based on the on-line estimations of eventual faults. It is shown that the design condition for the newly proposed adaptive H∞ filtering is more relaxed than that for the traditional fixed gain filter design based on LMI approach. A numerical example and its simulations are given to illustrate the effectiveness of the results

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