Guaranteed methods based on constrained zonotopes for set-valued state estimation of nonlinear discrete-time systems

Autor(es)

Rego, Brenner S. ^[1] ; Raffo, Guilherme V. ^{[2, 1]} ; Scott, Joseph K. ^[3] ; Raimondo, Davide M. ^[4]

Afiliação do(s) autor(es)

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

^[2] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270901 Belo Horizonte, MG - Brazil

^[3] Clemson Univ, Dept Chem & Biomol Engn, Clemson, SC - USA

^[4] Univ Pavia, Dept Elect Comp & Biomed Engn, Pavia - Italy

• Tipo de documento: Artigo Científico
• Fonte: AUTOMATICA; v. 111, JAN 2020.
• Citações Web of Science: 0

Resumo

This paper presents new methods for set-valued state estimation of nonlinear discrete-time systems with unknown-but-bounded uncertainties. A single time step involves propagating an enclosure of the system states through the nonlinear dynamics (prediction), and then enclosing the intersection of this set with a bounded-error measurement (update). When these enclosures are represented by simple sets such as intervals, ellipsoids, parallelotopes, and zonotopes, certain set operations can be very conservative. Yet, using general convex polytopes is much more computationally demanding. To address this, we present in this paper two new methods, a mean value extension and a first-order Taylor extension, for efficiently propagating constrained zonotopes through nonlinear mappings. These extend existing methods for zonotopes in a consistent way. Examples show that these extensions yield tighter prediction enclosures than zonotopic estimation methods, while largely retaining the computational benefits of zonotopes. Moreover, they enable tighter update enclosures because constrained zonotopes can represent intersections much more accurately than zonotopes. (C) 2019 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 14/50851-0 - INCT 2014: Instituto Nacional de Ciência e Tecnologia para Sistemas Autônomos Cooperativos Aplicados em Segurança e Meio Ambiente
• Beneficiário: Marco Henrique Terra
• Linha de fomento: Auxílio à Pesquisa - Temático