Abstract
This paper addresses the simultaneous interval estimations of actuator fault and sensor fault for a kind of discrete-time Markovian jump systems with generally bounded transition probabilities. It is worth noting that the generally bounded transition probability takes a more general form, thus having more realistic weight. The whole design process involves two steps, the first of which is to design an L infinity observer for robust estimations of faults, in view of its strong tolerance to faults. The second step is to develop a new interval estimation algorithm based on the zonotopic analysis, so as to get observer error ranges. The final interval estimations for actuator fault and sensor fault can be achieved by a combination of the robust L infinity observer with interval estimation algorithm. In the end, a circuit system is given to test the feasibility and advantage of the proposed method. (c) 2020 Published by Elsevier Ltd on behalf of The Franklin Institute.
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