Sensor fault estimation based on the constrained zonotopic Kalman filter

Z Liu, Z Wang, Y Wang, Z Ji - International Journal of Robust …, 2021 - Wiley Online Library
… Compare with ellipsoids, zonotopes have better accuracy and is less … of zonotopes is less
than polytopes. Therefore, the set-membership estimation algorithm based on zonotopes has …

[HTML][HTML] Universal Tutte polynomial

O Bernardi, T Kálmán, A Postnikov - Advances in Mathematics, 2022 - Elsevier
… Tutte polynomials of graphical zonotopes in Section 16. Namely, we show that when P is
the polymatroid whose bases are the lattice points of the zonotope associated to a graph G, …

Efficient reachability analysis of parametric linear hybrid systems with time-triggered transitions

M Forets, D Freire, C Schilling - 2020 18th ACM-IEEE …, 2020 - ieeexplore.ieee.org
… II we see that the precision can be increased significantly by taking higher-order zonotopes
(… hull of a set of zonotopes CH (Z1 ∪···∪ Zk) again with a single zonotope, which is out of the …

Interval estimation for uncertain systems via polynomial chaos expansions

W Han, Z Wang, Y Shen, B Xu - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
… To our knowledge, interval estimation has not been studied using PCE and zonotope for linear
… PCE and Zonotope In this part, we analyze the error bound using PCE and zonotope. The …

Replay attack detection using a zonotopic KF and LQ approach

C Trapiello, V Puig - … on Systems, Man, and Cybernetics (SMC), 2020 - ieeexplore.ieee.org
… the notion of the covariation of a zonotope, the author proposes a robust … zonotope,
expressions analogous to the stochastic Kalman filter are obtained. This analogy between zonotope-…

Transient behaviour verification and controller tuning for an uncertain grid‐connected photovoltaic system using reachability analysis

PM Shabestari, A Mehrizi‐Sani - IET Renewable Power …, 2021 - Wiley Online Library
… , zonotopes [10, 11, 23], support functions [24], and level sets [25]. In this paper, the zonotope-…
A zonotope is a polytope formed by the Minkowski sum of a zonohedron's line segments in …

[HTML][HTML] On stochastic linear systems with zonotopic support sets

ME Villanueva, B Houska - Automatica, 2020 - Elsevier
This paper analyzes stochastic linear discrete-time processes, whose process noise sequence
consists of independent and uniformly distributed random variables on given zonotopes. …

[PDF][PDF] How to determine uncertainty interval: Practice in GNSS and LiDAR localization

JSYJS Schön, B Wagner - researchgate.net
Intervals can be seen as a natural way to bound observation uncertainty in navigation systems
such as Global Navigation Satellite System (GNSS), Inertial Measurement Units (IMU) or …

[HTML][HTML] Interval estimation of state and unknown input for linear discrete-time systems

J Li, T Raïssi, Z Wang, X Wang, Y Shen - Journal of the Franklin Institute, 2020 - Elsevier
This paper addresses the problem of state and unknown input estimation for linear discrete-time
systems subject to unknown but bounded process disturbance and measurement noise. …

[HTML][HTML] A new polynomially solvable class of quadratic optimization problems with box constraints

M Hladík, M Černý, M Rada - Optimization Letters, 2021 - Springer
… The idea is based on a reduction of the problem to enumeration of faces of a certain zonotope
in dimension $$O(r)$$ O ( r ) . This paper generalizes previous results where Q had been …