onotopic Filtering for Uncertain Nonlinear Systems: Fundamentals, Implementation Aspects, and Extensions [Applications of Control

Author(s)

de Paula, Alesi A. ^[1] ; Raffo, V, Guilherme ; Teixeira, Bruno O. S. ^{[2, 3]}

Affiliation

^[1] Univ Fed Minas Gerais, Elect Engn, BR-31270901 Belo Horizonte, MG - Brazil

^[2] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 - USA

^[3] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270901 Belo Horizonte, MG - Brazil

• Document type: Journal article
• Source: IEEE CONTROL SYSTEMS MAGAZINE; v. 42, n. 1, p. 19-51, FEB 2022.
• Web of Science Citations: 0

Abstract

When the bounds of uncertain variables are known, they can be represented by sets, such as polyhedra, polytopes, zonotopes, constrained zonotopes (CZs), parallelotopes, intervals, strips, and ellipsoids {[}1]-{[}4]. These sets are illustrated in Figure 1 for the 2D case. While interval arithmetic defines interval sets {[}1], {[}2], affine arithmetic (which is an extension of interval arithmetic) allows for defining more general sets, such as zonotopes {[}3]. This article focuses on set-based state estimation using interval and zonotopic sets (see ``Summary{''}). (AU)

• FAPESP's process: 14/50851-0 - INCT 2014: National Institute of Science and Technology for Cooperative Autonomous Systems Applied in Security and Environment
• Grantee: Marco Henrique Terra
• Support Opportunities: Research Projects - Thematic Grants