“…Bounding methods for state estimation, model parameter bounding and control problems have been developed in many papers [14,15,16,17]. Set membership techniques have previously been applied in the field of mobile robotics to obtain bounds on robot position with respect to known features, either to determine a robots configuration in a known environment, either as a batch operation on multiple observations of features [18,19], or as a observers that track bounds on the changes in robot state recursively through time [20,21,22,23,24,25,26]. Of the related work in set membership in robotics the application that is described in this paper is most closely related to that in [19], in which the position of an underwater vehicle is bounded using range measurements from multiple acoustic beacons that are mounted in floating buoys.…”