Linear-Quadratic optimal control for boundary controlled networks of waves
Optimization and Control
2025-02-06 v3
Abstract
Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of waves. The main results of this manuscript consist in converting the infinite-dimensional continuous-time systems into infinite-dimensional discrete-time systems for which the operators dynamics are matrices, in solving the LQ-optimal control problem in discrete-time and then in interpreting the solution in the continuous-time variables, giving rise to the optimal boundary control input. The results are applied to two examples, a small network of three vibrating strings and a co-current heat-exchanger, for which boundary sensors and actuators are considered.
Keywords
Cite
@article{arxiv.2402.13706,
title = {Linear-Quadratic optimal control for boundary controlled networks of waves},
author = {Anthony Hastir and Birgit Jacob and Hans Zwart},
journal= {arXiv preprint arXiv:2402.13706},
year = {2025}
}