%0 Conference Proceedings
%T Inner and outer approximations of probabilistic sets
%+ Lab-STICC_ENSTAB_CID_IHSEV ; OSM
%+ Département STIC [Brest] (STIC)
%+ Department of Physics
%A Jaulin, Luc
%A Stancu, Alexandru
%A Desrochers, Benoît
%< avec comité de lecture
%B ICVRAM 2014
%C Liverpool, United Kingdom
%3 Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management
%8 2014-07-13
%D 2014
%R 10.1061/9780784413609
%K set estimation
%K intervals methods
%K localization
%K robot
%Z Engineering Sciences [physics]/AutomaticConference papers
%X This paper proposes a set-membership method to characterize a probabilistic set,i.e., a set enclosing the true value for the parameter vector of a parametric system witha given probability. The approach assumes that all errors are independent and an intervalfor the error is known. To each error interval, a probability to be an outlier is provided.It is shown that characterizing the probabilistic set is a set inversion problem. The maincontribution of the paper is to provide a method to characterize the inner part of theprobabilistic set. As an illustration, an application to the static localization of a mobilerobot is considered.
%G English
%L hal-01121905
%U https://hal.science/hal-01121905
%~ ENSTA-BRETAGNE
%~ ENSTA-BRETAGNE-STIC
%~ LAB-STICC
%~ TDS-MACS