Zonotopic fault detection observer for discrete-time descriptor systems considering fault sensitivity

Y Wang, V Puig, G Cembrano… - International Journal of …, 2021 - Taylor & Francis
… , especially by means of zonotopes to characterise the effects of uncertainties. Besides, in
this paper, we have also characterised the effects of faults by using zonotopes in order to give …

[HTML][HTML] Symmetrization procedures and convexity in centrally symmetric polytopes

A Guessab - Applied Mathematics and Computation, 2014 - Elsevier
… The standard examples of such polytopes are zonotopes. Traditionally, a zonotope is defined
as … In two-dimensional case all zonotopes are centrally symmetric polygons and vice versa. …

Automatically Generated Nonlinear Analog Circuit Models Enclosing Variations with Intervals and Affine Forms for Reachability Analysis

M Rechmal-Lesse, GA Koroa… - … on Design and …, 2020 - ieeexplore.ieee.org
… Since reachability analysis is performed with sets represented as zonotopes or intervals, we
… and ri referring to the generators of the zonotope. The result of these computations are semi-…

Reachability analysis of nonlinear systems using conservative polynomialization and non-convex sets

M Althoff - Proceedings of the 16th international conference on …, 2013 - dl.acm.org
… A zonotope Z is a special case of a polynomial zonotope that … i] a zonotope is centrally
symmetric to c so that for zonotopes, … the same sets than polynomial zonotopes when the input of …

Zonotopic extended kalman filter for rul forecasting with unknown degradation behaviors

A Al-Mohamad, V Puig, G Hoblos - 2020 28th Mediterranean …, 2020 - ieeexplore.ieee.org
This paper proposes a novel approach for Remaining Useful Life (RUL) forecasting using
interval model-based prognostics techniques based on zonotopes without prior knowledge of …

Robust tube-based constrained predictive control via zonotopic set-membership estimation

VTH Le, C Stoica, D Dumur, T Alamo… - 2011 50th IEEE …, 2011 - ieeexplore.ieee.org
… and the size of the zonotope is time decreasing. If the center of the zonotope can be stabilizable
to … The Minkowski sum of two zonotopes is also a zonotope defined by Z = Z1 ⊕ Z2 = [H1 …

Fault diagnosis based on the enclosure of parameters estimated with an adaptive observer

C Combastel, Q Zhang, A Lalami - IFAC Proceedings Volumes, 2008 - Elsevier
… The (Minkowski) sum of two zonotopes is a zonotope the matrix … a zonotope is a zonotope
obtained from a matrix product: LZ(R) = Z(LR). The smallest aligned box enclosing a zonotope

Zonotopic ultimate bounds for linear systems with bounded disturbances

F Stoican, S Olaru, JA De Doná, MM Seron - IFAC Proceedings Volumes, 2011 - Elsevier
… specific structure, called zonotopes. The two key ideas are that one can find tight zonotopic
approximations of the convex disturbance sets first, and then use this zonotope, described as …

Verification of the control system performance using viability theory

M Ghaniee Zarch, V Puig Cayuela… - 4th-2017 International …, 2017 - upcommons.upc.edu
… computations, we adopt zonotopes for set representation, … the set computations based on
zonotopes that are required to … in [17] to reduce the zonotope complexity. It is also important …

Spectral polyhedra

R Sanyal, J Saunderson - arXiv preprint arXiv:2001.04361, 2020 - arxiv.org
… It follows from Corollary 2.6 that spectral zonotopes are spectral convex … , zonotopes have
a simple characterization in terms of their support functions: The support function of a zonotope