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

AA de Paula, GV Raffo… - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
zonotope (CZ) is an extension of the zonotope, … A zonotope extends both the box and
parallelotope by involving any affine transformation of the unitary hypercube. Therefore, zonotopes

[PDF][PDF] Practical volume estimation by a new annealing schedule for cooling convex bodies

A Chalkis, IZ Emiris, V Fisikopoulos - arXiv preprint arXiv …, 2019 - researchgate.net
… If P is a zonotope we solve the following linear feasibility problem, … When the input is a
zonotope we study other choices for the sequence of bodies, ie sequences of balls and H-…

Robust fault detection using zonotopic parameter estimation

SE Samada, V Puig, F Nejjari - IFAC-PapersOnLine, 2022 - Elsevier
This paper addresses the system identification problem, as well as its application to robust
fault detection, considering parametric uncertainty and using zonotopes. As a result, a …

[HTML][HTML] Closed-loop input design for guaranteed fault diagnosis using set-valued observers

DM Raimondo, GR Marseglia, RD Braatz, JK Scott - Automatica, 2016 - Elsevier
… between linear systems with uncertainties bounded within zonotopes, an optimal open-loop …
In this article, the constrained zonotope (CZ) set representation recently developed by the …

Assessment of a leak localization algorithm in water networks under demand uncertainty

P Cugueró-Escofet, J Blesa, R Pérez… - IFAC-PapersOnLine, 2015 - Elsevier
… Two consistent approaches to evaluate the effect of demand uncertainty on the decision
result are shown: a Montecarlo approach and a Montecarlo combined with zonotope analysis …

[HTML][HTML] Distributed set-membership filtering for discrete-time systems subject to denial-of-service attacks and fading measurements: A zonotopic approach

X Li, G Wei, L Wang - Information Sciences, 2021 - Elsevier
… To this end, the zonotopes set-membership filtering method is employed in this paper
due to their lower complexity compared to polytopes and their higher accuracy compared to …

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

M Pourasghar, V Puig… - 2016 European Control …, 2016 - ieeexplore.ieee.org
… In this paper, both approaches are compared when implemented using zonotopes.
Mathematical expressions of both approaches are compared and conditions under which they …

Interval estimation for linear discrete-time delay systems

N Sehli, Z Wang, KI Taarit, T Raïssi, M Ksouri - IFAC-PapersOnLine, 2020 - Elsevier
… To overcome the aforementioned drawbacks, this paper deals with zonotope-based
interval estimation for linear discrete-time delay systems with a constant time-delay subject to …

[PDF][PDF] A Branch-and-Bound scheme for the range of rank-deficient quadratic forms with interval-valued variables

M Černý, M Rada, M Hladík - Book of Abstracts, 2017 - mattriad.wmi.amu.edu.pl
… of vertices of a zonotope in d-… of a zonotope into a pair of “smaller” zonotopes by removal
of a generator. In the bound-part, we use Goffin’s method [2] to approximate a zonotope by a …

Reachable set computation for uncertain time-varying linear systems

M Althoff, C Le Guernic, BH Krogh - Proceedings of the 14th international …, 2011 - dl.acm.org
… The method developed in this paper represents reachable sets using zonotopes, a class of
… are interested in zonotopes in the space of matrices. We will call them matrix zonotopes and …