Set-membership filtering for piecewise linear systems with censored measurements under Round-Robin protocol

Abstract

In this paper, the set-membership filtering problem is investigated for a class of piecewise linear systems with state constraintsand censored measurements under the Round-Robin (RR) protocol. First of all, the mode of the piecewise linear system is determined by itsstate. The noises under consideration satisfy two ellipsoid constraints. According the schedule of the RR protocol, a set of piecewise linearfilters is constructed in terms of the censored measurements transmitted through the shared network. The objective of this paper is todesign a set of filter gains such that the augmented dynamics satisfies the desirable ellipsoid constraint in the simultaneous presence of stateconstraints, censored measurements and RR protocol. A sufficient condition for the existence of piecewise linear filters is obtained and aconvex optimisation method is presented to derive the minimized ellipsoid in the sense of matrix trace. Finally, a simulation example is givento verify the effectiveness of the proposed design method.