Control of Oscillatory Temperature Field in a Building via Damping Assignment to Nonlinear Koopman Mode
Systems and Control
2022-12-16 v1 Systems and Control
Dynamical Systems
Optimization and Control
Abstract
This paper addresses a control problem on air-conditioning systems in buildings that is regarded as a control practice of nonlinear distributed-parameter systems. Specifically, we consider the design of a controller for suppressing an oscillatory response of in-room temperature field. The main idea in this paper is to apply the emergent theory of Koopman operator and Koopman mode decomposition for nonlinear systems, and to formulate a technique of damping assignment to a nonlinear Koopman mode in a fully data-driven manner. Its effectiveness is examined by numerical simulations guided by measurement of a practical room space.
Keywords
Cite
@article{arxiv.2207.03219,
title = {Control of Oscillatory Temperature Field in a Building via Damping Assignment to Nonlinear Koopman Mode},
author = {Yoshihiko Susuki and Kohei Eto and Naoto Hiramatsu and Atsushi Ishigame},
journal= {arXiv preprint arXiv:2207.03219},
year = {2022}
}
Comments
15 pages, 6 figures