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Robust Output Tracking for a Room Temperature Model with Distributed Control and Observation
- Source :
- IFAC-PapersOnLine, 54(9): 462-467, 2021
- Publication Year :
- 2020
-
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.<br />Comment: 12 pages, 5 figures. Accepted for publication in the Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems, 23-27 August, 2021
- Subjects :
- Mathematics - Optimization and Control
93C05, 93B52, 35K40
Subjects
Details
- Database :
- arXiv
- Journal :
- IFAC-PapersOnLine, 54(9): 462-467, 2021
- Publication Type :
- Report
- Accession number :
- edsarx.2007.05313
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.ifacol.2021.06.103