| 557 | RWTH Publication No: 811903 2021 |
| TITLE | Feedback control for random, linear hyperbolic balance laws |
| AUTHORS | Stephan Gerster, Markus Bambach, Michael Herty, Muhammad Imran |
| 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. |
| KEYWORDS | Systems of hyperbolic balance laws, feedback stabilization, Lyapunov function, stochastic Galerkin, viscoplastic deformations |
| DOI | 10.1615/Int.J.UncertaintyQuantification.2021037183 |
| PUBLICATION | International Journal for Uncertainty Quantification, Volume 12, Issue 2, 2022, pp. 81-104 |
