Event-triggered filtering and fault estimation for nonlinear systems with stochastic sensor saturations

This paper is concerned with the filtering problem for a class of nonlinear systems with stochastic sensor saturations and event-triggered measurement transmissions. An event-triggered transmission scheme is proposed with hope to ease the traffic burden and improve the energy efficiency. The measurements are subject to randomly occurring sensor saturations governed by Bernoulli-distributed sequences. Special effort is made to obtain an upper bound of the filtering error covariance in the presence of linearisation errors, stochastic sensor saturations as well as event-triggered transmissions. A filter is designed to minimise the obtained upper bound at each time step by solving two sets of Riccati-like matrix equations, and thus the recursive algorithm is suitable for online computation. Sufficient conditions are established under which the filtering error is exponentially bounded in mean square. The applicability of the presented method is demonstrated by dealing with the fault estimation problem. An illustrative example is exploited to show the effectiveness of the proposed algorithm.This work was supported by the National Natural Science Foundation of China [grant number 61490701], [grant number 61522309], [grant number 61290324], [grant number 61473163], [grant number 61273156], Research Fund for the Taishan Scholar Project of Shandong Province of China, Tsinghua University Initiative Scientific Research Program, and Jiangsu Provincial Key Laboratory of E-business at Nanjing University of Finance and Economics of China [grant number JSEB201301]