Distributed Fault Estimation for a Class of Time-Varying Systems Over Sensor Networks with Switching Topologies and Randomly Occurring Uncertainties

This paper is concerned about the distributed fault estimation problem for sensor networks with randomly switching topologies and occurring uncertainties in finite horizon situation. The Markovian jumping parameters are introduced to describe the phenomenon of switching topologies for sensor networks. The phenomenon of randomly uncertainties, governed by a Bernoulli-distributed white sequence, occurs in a random way. As the aim of this article, fault estimators are designed such that the error dynamics can satisfy the given $H$ performance constraint. Sufficient conditions are obtained through the stochastic analysis techniques. By using a special recursive technique, the designed estimators gains could be achieved. In the end, the effectiveness of the designed fault estimators is presented by employing a numerical example.

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