On the approximation of centered zonotopes in the plane

S Markov, D Claudio - International Conference on Large-Scale Scientific …, 2003 - Springer
… The present work is devoted to computation with zonotopes in the plane. Using ideas from
the theory of quasivector spaces we formulate an approximation problem for zonotopes and …

Identification for passive robust fault detection of LPV systems using zonotopes

J Blesa, V Puig, J Saludes - IFAC Proceedings Volumes, 2009 - Elsevier
In this paper, the problem of identification for passive robust fault detection when parametric
modeling uncertainty is considered in case the monitored system is represented by a LPV …

A zonotope-based method for capturing the effect of variable generation on the power flow

X Jiang, AD Domínguez-García - 2014 North American Power …, 2014 - ieeexplore.ieee.org
… this zonotope through a linearized model of the power system. The result is a zonotope
system static performance, we verify that this zonotope is contained within the region of the static …

Robust fault detection with unknown input set-membership state estimators and interval models using zonotopes

P Guerra, V Puig, A Ingimundarson… - … Detection, Supervision and …, 2007 - Elsevier
zonotope based fault detection algorithm described in this paper is applied, being iniatilised
to the initial zonotope: … zonotope inclusion method described in Section 4.2. In this case, the …

[HTML][HTML] Zonotope-based interval estimation for discrete-time Markovian jump systems with complex transition probabilities and quantization

Q Tang, W Chen, L Yang - Journal of the Franklin Institute, 2022 - Elsevier
This paper investigates the interval estimation for a class of discrete-time Markovian jump
systems with generally uncertain transition probabilities and unknown-but-bounded …

[PDF][PDF] Extended affine surface area and zonotopes

X Zhu, S Lv, G Leng - Bol. Soc. Mat. Mexicana (3), 2008 - researchgate.net
… is closely related to the properties of zonotopes, and in fact, … and extended affine surface
area, zonotopes) and well-known … In this section, we will introduce the concept of Lp-zonotopes

Ellipsotopes: Combining Ellipsoids and Zonotopes for Reachability Analysis and Fault Detection

S Kousik, A Dai, G Gao - arXiv preprint arXiv:2108.01750, 2021 - arxiv.org
… , constrained zonotopes and constrained polynomial zonotopeszonotopes can not represent
shapes with smooth boundaries such as ellipsoids, and constrained polynomial zonotopes

Fast zonotope‐tube‐based LPV‐MPC for autonomous vehicles

E Alcalá, V Puig, J Quevedo… - IET Control Theory & …, 2020 - Wiley Online Library
… Using zonotope … , zonotopes are used to compute reachable sets and therefore, the tube
to implement the proposed robust MPC approach. The main reason for the use of zonotopes

Zonotope-based interval estimation for discrete-time linear switched systems

W Zhang, Z Wang, T Raïssi, TN Dinh, GM Dimirovski - IFAC-PapersOnLine, 2020 - Elsevier
This paper is concerned with the interval estimation for discrete-time linear switched systems
affected by unknown disturbances and noises. A novel interval estimation approach is …

Collision prediction and avoidance for satellite ultra-close relative motion with zonotope-based reachable sets

Z Xu, X Chen, Y Huang, Y Bai… - Proceedings of the …, 2019 - journals.sagepub.com
… study, zonotopes are chosen to represent the RS for their high computation efficiency.
Zonotopes are … are particular zonotopes. The shapes of the satellites can also be represented by …