Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems
Optimization and Control
2024-08-01 v4 Dynamical Systems
Abstract
We consider discrete ensembles of linear, scalar control systems with single-inputs. Assuming that all the individual systems are unstable, we investigate whether there exist linear feedback control laws that can asymptotically stabilize the ensemble system. We provide necessary/sufficient conditions for feasibility of pole placement in the left half plane and for feedback stabilizability of the ensemble systems.
Cite
@article{arxiv.2403.19017,
title = {Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems},
author = {Xudong Chen},
journal= {arXiv preprint arXiv:2403.19017},
year = {2024}
}