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

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.

arXiv comment15 pages, 6 figures

References in corpus (5)

• A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition
• Applied Koopmanism
• Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
• An Optimal Control Formulation of Pulse-Based Control Using Koopman Operator
• Koopman Mode Decomposition of Oscillatory Temperature Field inside a Room