Approximating a flexible beam model in the Loewner framework

A Zuyev, IV Gosea - 2023 European Control Conference (ECC), 2023 - ieeexplore.ieee.org
The paper develops the Loewner approach for data-based modeling of a linear distributed-
parameter system. This approach is applied to a controlled flexible beam model coupled …

Asymptotic stabilization of a flexible beam with attached mass

JI Kalosha, AL Zuyev - Ukrainian Mathematical Journal, 2022 - Springer
We consider a mathematical model of a simply supported Euler–Bernoulli beam with an
attached springmass system. The model is controlled by distributed piezo-actuators and a …

Polynomial Convergence of an Observer for an Infinite-Dimensional Oscillating System

A Zuyev, J Kalosha - arXiv preprint arXiv:2410.00989, 2024 - arxiv.org
This paper is devoted to analyzing the observer convergence rate for a class of linear control
systems in a Hilbert space. To characterize the polynomial stability of the observer error …

Observer design for a flexible structure with distributed and point sensors

A Zuyev, J Kalosha - arXiv preprint arXiv:2112.08737, 2021 - arxiv.org
The paper is devoted to the observability study of a dynamic system, which describes the
vibrations of an elastic beam with an attached rigid body and distributed control actions. The …

A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures

A Zuyev, J Kalosha - 2023 European Control Conference (ECC …, 2023 - ieeexplore.ieee.org
Infinite-dimensional control systems with outputs are considered in the Hamiltonian
formulation with generalized coordinates. An explicit scheme for constructing a dynamic …

[PDF][PDF] ASYMPTOTIC STABILIZATION OF A FLEXIBLE BEAM WITH AN ATTACHED MASS* АСИМПТОТИЧНА СТАБIЛIЗАЦIЯ ГНУЧКОЇ БАЛКИ З ПРИКРIПЛЕНОЮ …

JI Kalosha - jnas.nbuv.gov.ua
A mathematical model of a simply supported Euler–Bernoulli beam with attached spring-
mass system is considered. The model is controlled by distributed piezo actuators and a …