Zonotope-based interval estimation for discrete-time linear switched systems

W Zhang, Z Wang, T Raïssi, TN Dinh, GM Dimirovski - IFAC-PapersOnLine, 2020 - Elsevier
This paper is concerned with the interval estimation for discrete-time linear switched systems
affected by unknown disturbances and noises. A novel interval estimation approach is …

Zonotope-based controller synthesis for LTL specifications

W Ren, J Calbert, R Jungers - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
… finite zonotopes and constrained zonotopes to cover the state space. Since the generated
zonotopes and constrained zonotopes … all generated zonotopes and constrained zonotopes to …

Set-based state estimation and fault diagnosis of linear discrete-time descriptor systems using constrained zonotopes

BS Rego, DM Raimondo, GV Raffo - IFAC-PapersOnLine, 2020 - Elsevier
… The algorithms are based on constrained zonotopes, a generalization of zonotopes capable
… of zonotopes. Additionally, unlike other set representations like intervals, zonotopes, …

Successor Sets of Discrete-time Nonlinear Systems Using Hybrid Zonotopes

JA Siefert, TJ Bird, JP Koeln, N Jain… - arXiv preprint arXiv …, 2022 - arxiv.org
This paper presents identities for calculating over-approximated successor sets of discrete-time
nonlinear systems using hybrid zonotopes. The proposed technique extends the state-…

Capacity Lower Bound of Visible Light Communications Precoding on Zonotopes

X Wang, L Xia, Y Yuan, G Liu, Q Wang… - 2022 IEEE Wireless …, 2022 - ieeexplore.ieee.org
… on zonotopes model of channel and then derive the capacity of VLC-MIMO with precoding
when the number of transmitters is greater than receivers. Based on the zonotopes graph, two …

Set-based state estimation for discrete-time constrained nonlinear systems: an approach based on constrained zonotopes and DC programming

AA de Paula, DM Raimondo, GV Raffo… - arXiv preprint arXiv …, 2022 - arxiv.org
This paper proposes a new state estimator for discrete-time nonlinear dynamical systems
with unknown-but-bounded uncertainties and state linear inequality and nonlinear equality …

Interval estimation and fault detection for switched nonlinear systems based on zonotope method

C Li, F Zhu, S Guo - Asian Journal of Control, 2022 - Wiley Online Library
This paper investigates the state interval estimation and fault detection (FD) problems for a
Lipschitz nonlinear switched system based on the combination of the H ∞ $$ {H}_{\infty } $$ …

Combinatorial decomposition theorem for Hitchin systems via zonotopes

M Mauri, L Migliorini, R Pagaria - arXiv preprint arXiv:2209.00621, 2022 - arxiv.org
We establish a relation between lattice point count in graphical zonotopes, and the summands
of the decomposition theorem for the Hitchin system for $\mathrm{GL}_n$, in arbitrary …

Resilient Set-based State Estimation for Linear Time-Invariant Systems Using Zonotopes

MUB Niazi, A Alanwar, MS Chong… - arXiv preprint arXiv …, 2022 - arxiv.org
This paper considers the problem of set-based state estimation for linear time-invariant (LTI)
systems under time-varying sensor attacks. Provided that the LTI system is stable and …

Sensor fault detection for dynamic point‐the‐bit rotary steerable system via finite‐frequency domain observer and zonotope residual evaluation

W Wang, Y Geng, M Cheng, J Sun… - IET Control Theory & …, 2022 - Wiley Online Library
In this paper, the sensor fault detection (FD) problem is investigated for the dynamic point‐the‐bit
rotary steerable system (DPRSS), which is known as state‐of‐the‐art oil drilling …