Set-membership filtering for discrete time-varying nonlinear systems with censored measurements under Round-Robin protocol

Abstract

Abstract This paper addresses the set-membership filtering problem for a class of discrete time-varying nonlinear systems with censored measurements and time-delay under the Round-Robin protocol. The censored measurements resulting from occlusion region, limit-of-detection or sensor faults are modeled by the Tobit Type I model, in which the given threshold governs whether or not the measurement information is directly utilized. A periodic protocol named Round-Robin protocol is employed to reduce the communication burden. Subsequently, a novel periodical model is given to describe censored measurement and the Round-Robin protocol in a uniform framework. In the light of such a model, the existence condition of the set-membership filter is described by a series of periodic threshold-dependent recursive linear matrix inequalities (RLMIs). As a consequence, the desired filter parameters can be obtained by the existence conditions and optimizing the corresponding ellipsoid parameters with the help of the convex optimization approach. Finally, a simulation is provided to illustrate the effectiveness of the proposed estimation approach.