Fault Detection and Isolation for Linear discrete-time Delayed Systems based on L∞ Observer and Zonotopic Analysis
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 …
discrete-time systems with constant time-delay. Based on delay-free representation, a novel …
Set propagation techniques for reachability analysis
… 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]. …
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 …
above has not yet been presented in the dynamic analysis of CDNs, which may be due to the …
Reachable Power Flow: Theory to Practice
… 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 …
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
… 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. …
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)…
… 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 …
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 …
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 …
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
… 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 …
interpretation in terms of covering radii of zonotopes, and apply our algorithm to prove the first …