Control of Oscillatory Temperature Field in a Building via Damping Assignment to Nonlinear Koopman Mode

TL;DR

This paper proposes a data-driven control method using Koopman operator theory to suppress oscillations in building temperature fields, demonstrated through numerical simulations based on real room measurements.

Contribution

It introduces a novel damping assignment technique to nonlinear Koopman modes for controlling oscillatory temperature responses in buildings.

Findings

Effective suppression of temperature oscillations demonstrated in simulations.

Data-driven Koopman mode damping improves control of nonlinear temperature dynamics.

Method applicable to real building temperature regulation scenarios.

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.