A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures
Optimization and Control
2023-08-16 v2
Abstract
Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain coefficients. Sufficient conditions for the convergence of the constructed observer are obtained on the basis of the invariance principle. This result is applied to a flexible beam model attached to a mass-spring system with lumped and distributed actuators. The estimation error decay is illustrated with numerical simulations of finite-dimensional approximations of the observer dynamics.
Cite
@article{arxiv.2211.01918,
title = {A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures},
author = {Alexander Zuyev and Julia Kalosha},
journal= {arXiv preprint arXiv:2211.01918},
year = {2023}
}
Comments
This is a preprint version of the paper accepted to the 2023 European Control Conference