Robust Output Tracking for a Room Temperature Model with Distributed Control and Observation⁎The research was supported by the Academy of Finland Grant number 310489 held by L. Paunonen. L. Paunonen was funded by the Academy of Finland Grant number 298182. W. Hu was partially supported by the NSF grant DMS-1813570. Issue 9 (2021)

• Record Type: Journal Article
• Authors: Huhtala, Konsta; Paunonen, Lassi; Hu, Weiwei
• Is Part Of: IFAC-PapersOnLine. Volume 54:Issue 9(2021)
• Page Start: 462
• Page End: 467
• Publication Date: 2021
• Subjects: Linear control systems -- robust control -- output regulation -- partial differential equations; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2021.06.103
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We consider robust output regulation of a partial differential equation model describing temperature evolution in a room. More precisely, we examine a two-dimensional room model with the velocity field and temperature evolution governed by the incompressible steady state Navier-Stokes and advection-diffusion equations, respectively, which coupled together form a simplification of the Boussinesq equations. We assume that the control and observation operators of our system are distributed, whereas the disturbance acts on a part of the boundary of the system. We solve the robust output regulation problem using a finite-dimensional low-order controller, which is constructed using model reduction on a finite element approximation of the model. Through numerical simulations, we compare performance of the reduced-order controller to that of the controller without model reduction as well as to performance of a low-gain robust controller.