Fault Estimation in Finite Frequency Domain for Uncertain Systems with Sensor Fault

This paper addresses the problem of sensor failure fault estimation for continuous linear uncertain systems with sensor failure fault, which belongs to multiplicative faults, and this problem has not been well investigated in the literature. With the aid of generalised KYP lemma, three finite frequency performance indexes are given to measure the robustness of the estimation errors, which help to track the sensor fault parameters. Then, sufficient conditions based on linear matrix inequalities which guarantee the robustness of the estimation errors are subsequently derived. The effectiveness of the proposed approach is proved by numerical example.