Fault Detection and Isolation for Linear discrete-time Delayed Systems based on L∞ Observer and Zonotopic Analysis

N Sehli, KI Taarit, X Ping, Z Wang, T Raïssi, M Ksouri - IFAC-PapersOnLine, 2022 - Elsevier
This paper considers actuator fault detection and isolation (FDI) problem for a class of linear
discrete-time systems with constant time-delay. Based on delay-free representation, a novel …

Set propagation techniques for reachability analysis

M Althoff, G Frehse, A Girard - Annual Review of Control …, 2021 - hal.archives-ouvertes.fr
… An alternative to zonotope bundles are constrained zonotopes, which are computationally
more demanding, but operations on them are exact for Minkowski sum and convex hull [18]. …

A survey on state estimation of complex dynamical networks

J Hu, C Jia, H Liu, X Yi, Y Liu - International Journal of Systems …, 2021 - Taylor & Francis
… Nevertheless, the zonotope-based set-membership state estimation approach mentioned
above has not yet been presented in the dynamic analysis of CDNs, which may be due to the …

Reachable Power Flow: Theory to Practice

Y Zhou, P Zhang - IEEE Transactions on Power Systems, 2020 - ieeexplore.ieee.org
… In this paper, the uncertainty inputs are governed by an unknown-butbounded set U0 , and
zonotope is adopted for set modeling for its efficiency in linear transformation and Minkowski …

Robust Data-Driven Predictive Control of Unknown Nonlinear Systems using Reachability Analysis

M Farjadnia, A Alanwar, MUB Niazi, M Molinari… - arXiv preprint arXiv …, 2022 - arxiv.org
… matrix zonotopes resulting from the concatenation of multiple noise zonotopes Zw and Zv
as described in [14]. We further denote the actual, but unknown, state trajectory by X[t−T,t]. D. …

[PDF][PDF] COVERING CONVEX HULLS OF COMPACT CONVEX SETS WITH SMALLER HOMOTHETIC COPIES

S Wu, Y Lv, K Zhang, C He - MATHEMATICAL INEQUALITIES & …, 2022 - files.ele-math.com
… In particular, an upper bound of the covering functional of zonotopes that can be written as
… MARTINI, Some results and problems around zonotopes, In Intuitive geometry (Siófok, 1985)…

[HTML][HTML] Observer-based asymptotic active fault diagnosis: A two-layer optimization framework

F Xu - Automatica, 2021 - Elsevier
zonotopes are used to describe sets in this paper, the F -norm is used to describe the sizes of
output estimation zonotopes… Similar to the F -norm sizes of output estimation zonotopes, we …

Interval state estimation‐based robust model predictive control for linear parameter varying systems

X Ping, S Yang, Y Xiao, B Ding… - International Journal of …, 2021 - Wiley Online Library
… In the sequel, the definitions of the zonotope and the interval hull of the zonotope are given
in Section 4.1. Then, the zonotope-based box computations are performed to obtain the …

Outlier‐robust set‐membership estimation for discrete‐time linear systems

A Chen, T Ngoc Dinh, T Raïssi… - International Journal of …, 2022 - Wiley Online Library
… Inspired by Lemma 1, which computes the over-approximation of intersection between a
zonotope and a strip, we propose the following lemma to calculate the over-approximation of …

Computing the covering radius of a polytope with an application to lonely runners

J Cslovjecsek, RD Malikiosis, M Naszódi, M Schymura - Combinatorica, 2022 - Springer
… Motivated by a variant of the famous Lonely Runner Conjecture, we use its geometric
interpretation in terms of covering radii of zonotopes, and apply our algorithm to prove the first …