Abstract
This paper is concerned with the distributed fault estimation problem for a class of time-varying systems which are subject to randomly occurring nonlinearities (RONs) over sensor networks. The random nonlinearities are characterized by random variables obeying certain probabilistic distributions in the interval [0, 1]. And the available output measurements are obtained from both the individual sensor and its neighboring sensors. We aim to design a fault estimator such that the disturbance rejection attenuation level is constrained to a prescribed H ∞ performance index. Conditions which are sufficient are achieved to guarantee that the desired fault estimator satisfies the estimation performance constraint by adopting intensive stochastic analysis. Finally, a numerical example is provided to illustrate the validity of the proposed estimation technique.
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