Feedback control for random, linear hyperbolic balance laws
Optimization and Control
2021-07-20 v4
Abstract
We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a control based on Lyapunov stability analysis of a suitable series expansion of the random dynamics. The control damps the impact of uncertainties exponentially fast in time. The presented approach can be applied to a large class of physical systems and random perturbations, as e.g. Gaussian processes. We illustrate the control effect on a stochastic viscoplastic material model.
Cite
@article{arxiv.2007.00526,
title = {Feedback control for random, linear hyperbolic balance laws},
author = {Stephan Gerster and Markus Bambach and Michael Herty and Muhammad Imran},
journal= {arXiv preprint arXiv:2007.00526},
year = {2021}
}