Distributed Estimation for Discrete Sequential Systems under Binary Sensors

This paper is concerned with the distributed state estimation problem for a class of discrete sequential systems (DSSs) with bounded noises, where each subsystem is observed by several binary sensors. An uncertain approach is employed to deal with estimator design only based on little valid information from binary sensors, and a distributed recursive estimation form is given for DSSs. Then, by using the matrix analysis method and the idea of bounded recursive optimization, each optimal gain of the estimator is designed by constructing different self-relative convex optimization problems that can be solved by the standard software packages. Furthermore, the stability is proved under certain conditions. Finally, an illustrative example is given to show the effectiveness of the proposed methods.