Optimal control of sets of solutions to formally guarantee constraints of disturbed linear systems

B Schürmann, M Althoff - 2017 American Control Conference …, 2017 - ieeexplore.ieee.org
… with O(n2) for a fixed zonotope order o. Lastly, we have to … all extreme points of the zonotope.
While this is numerically stable … dimension n if we still assume a constant zonotope order o. …

Data-driven Set-based Estimation of Polynomial Systems with Application to SIR Epidemics

A Alanwar, MUB Niazi… - 2022 European Control …, 2022 - ieeexplore.ieee.org
… Zx|z(k) for each sample x(k), we obtain a matrix zonotope that provides the … matrix zonotope
MΘp that bounds the set of unknown coefficients, we utilize the constrained matrix zonotopes

Constrained hierarchical MPC via zonotopic waysets

JP Koeln, BM Hencey - 2019 American Control Conference …, 2019 - ieeexplore.ieee.org
… The waysets are represented as constrained zonotopes to enable computationally efficient
on-line calculation. Constraint satisfaction is proven for a hierarchy with an arbitrary number …

[HTML][HTML] Dynamic output feedback robust model predictive control via zonotopic set-membership estimation for constrained quasi-LPV systems

X Ping, N Sun - Journal of Applied Mathematics, 2015 - hindawi.com
… 𝑚-zonotope in R 𝑛 can be defined as the linear image of a 𝑚-dimensional hypercube in R 𝑛
, where 𝑚 is the order of the zonotope … related to zonotopes), 𝑚 (the order of zonotopes), and …

Prognosis based on the joint parameter/state estimation using zonotopic lpv set-membership approach

A Al-Mohamad, V Puig, G Hoblos - IFAC-PapersOnLine, 2021 - Elsevier
This paper addresses the problem of prognostics based on Joint Estimation of States and
Parameters (JESP) using a zonotopic Linear Parameter-Varying (LPV) set-membership …

Simplified kinetic connectivity for rectangles and hypercubes.

J Hershberger, S Suri - SODA, 2001 - books.google.com
… If this is not true, for ex2 Hypercubes and zonotopes ample if O (1) hypercubes are rigidly …
For centrally symmetric convex polygon is a zonotope. In general zonotopes, we know of no …

LIMIT THEOREMS FOR CONVEX HULLS

Y DAVYDOV - ims-vilnius2018.com
… In the last part of the talk we consider the random zonotopes … sufficient for weak convergence
ofVn to a limitV which is a countable random zonotope with a non-trivial boundary structure. …

Observations on the complexity of the explicit MPC

F Stoican, ŞS Mihai… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
This paper analyzes the structure of the constrained optimization problem induced by a typical
Model Predictive Control (MPC) problem. The main idea is to exploit the particularities of …

Robust detection and isolation of unknown sensor faults using interval observers and invariant sets

J Tan, W Lu, X Wang, B Liang… - 2015 Chinese Automation …, 2015 - ieeexplore.ieee.org
zonotopes and invariant sets. Section III states the plant model and interval observers. Section
IV proposes the residual zonotopes and their bounding zonotopes. … of residual zonotopes, …

On the ubiquity of the wrapping effect in the computation of error bounds

RJ Lohner - Perspectives on enclosure methods, 2001 - Springer
… in a zonotope and many possible strategies of wrapping and combining different terms in
the representation of a zonotope. … On the other hand, however, the zonotope and coordinate …