FEEDBACK CONTROL FOR RANDOM, LINEAR HYPERBOLIC BALANCE LAWS

摘要

We design boundary 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 (e.g., Gaussian processes). We illustrate the boundary control effect on a stochastic viscoplastic material model.