A distributed Kalman filter with symbolic zonotopes and unique symbols provider for robust state estimation in CPS

C Combastel, A Zolghadri - International Journal of Control, 2020 - Taylor & Francis
… This comes from an implicit break of some dependency links between agents, which motivates
the introduction of symbolic zonotopes as proposed in this paper. Also, note that online …

Robust economic model predictive control based on a zonotope and local feedback controller for energy dispatch in smart-grids considering demand uncertainty

M Nassourou, J Blesa, V Puig - Energies, 2020 - mdpi.com
Electrical smart grids are complex MIMO systems whose operation can be noticeably affected
by the presence of uncertainties such as load demand uncertainty. In this paper, based on …

Deformed graphical zonotopes

A Padrol, V Pilaud, G Poullot - arXiv preprint arXiv:2111.12422, 2021 - arxiv.org
zonotopes. Deformations of the classical permutahedron (which is the graphical zonotope
of … We provide an irredundant description of the deformation cone of the graphical zonotope

Robust Successor and Precursor Sets of Hybrid Systems Using Hybrid Zonotopes

JA Siefert, TJ Bird, JP Koeln, N Jain… - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
… methods to reduce reachable set complexity, as hybrid zonotopes may be able to leverage
approximation methods developed for zonotopes and constrained zonotopes [14], [24]. Using …

[HTML][HTML] Classification of vertex-transitive zonotopes

M Winter - Discrete & Computational Geometry, 2021 - Springer
… of a zonotope (ie, a canonical way to write the zonotope as a … determine the symmetries of
the zonotope. Section 3 recalls … : permutahedra are exactly the zonotopes generated by root …

Low-complexity zonotopes can enhance uncertainty quantification (UQ)

O Kosheleva, V Kreinovich - 2021 - scholarworks.utep.edu
… In this paper, we show that this set is a particular case of what is called a zonotope, and
that we can use known results about zonotopes to make the corresponding computational …

Interval-Observer-based fault detection and isolation design for TS fuzzy system based on zonotope analysis

F Zhu, Y Tang, Z Wang - IEEE Transactions on Fuzzy Systems, 2021 - ieeexplore.ieee.org
This article deals with the fault detection and isolation problems for a class of uncertain
discrete-time Takagi-Sugeno (TS) fuzzy system based on the combination of the H-infinity …

Hybrid zonotopes: A new set representation for reachability analysis of mixed logical dynamical systems

TJ Bird, HC Pangborn, N Jain, JP Koeln - arXiv preprint arXiv:2106.14831, 2021 - arxiv.org
… the hybrid zonotope that contains both continuous and binary zonotope factors. It is shown
that the hybrid zonotope is equivalent to the union of 2N constrained zonotopes through the …

[HTML][HTML] Reachability of Koopman linearized systems using random fourier feature observables and polynomial zonotope refinement

S Bak, S Bogomolov, B Hencey, N Kochdumper… - … on Computer Aided …, 2022 - Springer
… Instead of using an SMT solver to reason over non-convex initial sets, we propose combining
Taylor models with polynomial zonotope refinement. A comparison on the same nonlinear …

Set-Valued Shadow Matching using Zonotopes

S Bhamidipati, S Kousik, G Gao - … of the 34th International Technical Meeting …, 2021 - ion.org
… union of constrained zonotopes as a list of constrained zonotopes; so, we hold on to each
zonotopes as a list of constrained zonotopes. So, in practice, we consider each kth shadow, …