[PDF][PDF] Set Based Computing Methods in Optimization and Control

B Houska - syscop.de
… Constrained zonotopes: A new tool for set-based estimation and fault detection, 2016 …
Many existing software tools for different set arithmetics: Intervals, Ellipsoids, Zonotopes, …

基于中心对称多胞体的故障可分离性评价

王桢榕, 王振华, 沈毅 - 自动化学报, 2022 - aas.net.cn
… , we propose a new fault isolability method via using zonotopes. To achieve the quantitative
evaluation of fault isolability, zonotopes are converted into polytopes. Specific evaluation …

A Robust Nonlinear Tracking MPC using qLPV Embedding and Zonotopic Uncertainty Propagation

MM Morato, VM Cunha, TLM Santos, JE Normey-Rico… - 2021 - hal.archives-ouvertes.fr
… This is what we perform in this paper with the use of the zonotopes detailed in Sec. 2.3. …
tightening and the corresponding disturbance propagation zonotopes. Thence, we progress by …

Multiple arrangements

GF Tóth - arXiv preprint arXiv:2202.11383, 2022 - arxiv.org
… For the three-dimensional case this means that only zonotopes admit a translational k-fold …
is not a two-flat zonotope is quasi-periodic. A two-flat zonotope is the Minkowski sum of two 2-…

Terminal‐cost design for model predictive control with linear stage‐costs: A set‐theoretic method

C Danielson - Optimal Control Applications and Methods, 2021 - Wiley Online Library
Zonotopes have the property that all their k-faces are also zonotopes. In particular, 2-dimensional
zonotopes are easy to recognize since they are centrally symmetric polygons with an …

A piecewise ellipsoidal reachable set estimation method for continuous bimodal piecewise affine systems

TL Quang, NP Thanh, S Baldi - arXiv preprint arXiv:2106.06776, 2021 - arxiv.org
… as a zonotope, and we have tried a zonotope of order 40 (larger dashdotted line in Fig. 4)
and a zonotope of order 50 (smaller dash-dotted line in Fig. 4). For the zonotope of order 40, …

Guaranteed Fault-estimation Algorithm Based on Interval Set Inversion Observer Filtering

Z Wang, M Zhang, Y Wang, Y Chen, Z Ji - International Journal of Control …, 2022 - Springer
zonotope of the state at time instant k = 200 (see in Figs. 7, 9, and 11). The projections of the
blue box and the green zonotope … based on the green zonotope. The estimation results of …

Continuous tension validation for cable-driven parallel robots

D Bury, JB Izard, M Gouttefarde… - 2020 IEEE/RSJ …, 2020 - ieeexplore.ieee.org
… set is a zonotope, ie a … zonotope and thereby feasible. Let us assume that the required
wrench set is reduced to a single wrench f. For a given pose, if the wrench f is inside the zonotope, …

Reducing inequalities among unequals

M Faure, N Gravel - International Economic Review, 2021 - Wiley Online Library
… of several attributes be compared on the basis of the inclusion of their Lorenz zonotope. This
Lorenz zonotope inclusion criterion is a clear generalization, to any number of dimensions, …

Steering law for control moment gyroscopes with online torque capacity maximization

R Geshnizjani, W Fichter - Journal of Guidance, Control, and Dynamics, 2022 - arc.aiaa.org
… The torque envelope of a CMG array under gimbal rate constraints is a zonotope, whose
geometrical characteristics can be used to systematically increase the torque capacity around …