Comparison of set-membership and interval observer approaches for state estimation of uncertain systems

Abstract

This paper presents the analysis and comparison of interval-observer-based and set-membership approaches for the state estimation of linear uncertain systems. In both approaches noise and disturbances are assumed to be unknown but bounded. In this paper, both approaches are compared when implemented using zonotopes. Mathematical expressions of both approaches are compared and conditions under which they provide the same state estimation are derived. At the end, an example based on a two-tanks system is used to test the obtained conditions.