[HTML][HTML] Functional interval observer for discrete-time systems with disturbances

H Che, J Huang, X Zhao, X Ma, N Xu - Applied Mathematics and …, 2020 - Elsevier
This paper further investigates the design problem of the functional interval observer for
discrete-time systems with disturbances. Two methods are given to design functional interval …

Robust GPS-Vision Localization via Integrity-Driven Landmark Attention

S Bhamidipati, G Gao - NAVIGATION: Journal of the Institute of …, 2022 - navi.ion.org
… to estimate the p-zonotope of expected states. Thereafter, we … -zonotopes to compute
an over-approximated p-zonotope of … p-zonotopes, we over-approximate the union of p-zonotopes

Voltage ride-through capability verification of wind turbines with fully-rated converters using reachability analysis

HNV Pico, DC Aliprantis - IEEE Transactions on Energy …, 2014 - ieeexplore.ieee.org
… When the generic sets V and W are zonotopes, the operations result to zonotopes as well.
For instance, Fig. 2 depicts the Minkowski addition of two zonotopes V and W. Here, …

On Algorithmic Estimation of Analytic Complexity for Polynomial Solutions to Hypergeometric Systems

VA Krasikov - arXiv preprint arXiv:2007.09407, 2020 - arxiv.org
… In Section 2 we investigate particular cases of hypergeometric systems defined by zonotopes
and analyze the analytic complexity of their solutions. We formulate and prove an estimate …

[HTML][HTML] New pruning tests for the branch-and-prune framework for interval parametric linear systems

M Rada, E Garajová, J Horáček, M Hladík - Soft Computing, 2022 - Springer
… 7.2 we examine the performance of the zonotope-based pruning condition with and without
the feasibility test, since this is the only test that also allows proving feasibility of a box. Here, …

Resilience Analysis of Islanded Microgrids with Droop Control through Reachable Set Computation

Y Li, NR Chaudhuri - 2022 IEEE Power & Energy Society …, 2022 - ieeexplore.ieee.org
… , Zonotope approach is adopted in this work to model the changes of droop coefficients. A
Zonotope is … 2 illustrates two 3D-Zonotopes by using four and five generators, respectively. …

Zonotopic state estimation and fault detection for systems with time-invariant uncertainties

Z Wang, W Tang, Q Zhang, V Puig, Y Shen - IFAC-PapersOnLine, 2018 - Elsevier
… From (1c), we know that a zonotope can be bounded by a box. Then, we can obtain the
interval estimation of the state including the upper bound xk and lower bound xk, which can be …

Recent Results on p-Stable Convex Compact Sets with

V Paulauskas - Asymptotic Methods in Stochastics, 2004 - books.google.com
… Rather unexpectedly study of the boundary of random stable zonotopes gave rise to the …
zonotopes and present results, connected with the structure of the boundary of such zonotopes

Reachability analysis of shipboard power systems with uncertain pulsed loads

HNV Pico, DC Aliprantis… - 2015 IEEE Electric Ship …, 2015 - ieeexplore.ieee.org
… Our implementation uses zonotopes to represent reachable sets. These are computed using
plane geometry by transforming the system dynamics into a canonical coordinate system. …

Analysis of set-theoretic unknown input observer and interval observer in robust fault detection

F Xu, J Tan, X Wang, V Puig, B Liang… - 2016 IEEE 55th …, 2016 - ieeexplore.ieee.org
… a zonotope, the segment matrix describes its size, while the sizes of residual zonotopes will
… Thus, according to (26b) and (26d), if the initial zonotopes are the same, the matrix iterations …