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Robust Output Regulation of the Linearized Boussinesq Equations with Boundary Control and Observation
- Source :
- Mathematics of Control, Signals, and Systems, 34(2):361-391, 2022
- Publication Year :
- 2020
-
Abstract
- We study temperature and velocity output tracking problem for a two-dimensional room model with the fluid dynamics governed by the linearized translated Boussinesq equations. Additionally, the room model includes finite-dimensional models for actuation and sensing dynamics, thus the complete model dynamics are governed by an ODE-PDE-ODE system. As the main result, we design a low-dimensional internal model based controller for robust output racking of the room model. Efficiency of the controller is demonstrated through a numerical example of velocity and temperature tracking.<br />Comment: 26 pages, 9 figures, submitted
- Subjects :
- Mathematics - Optimization and Control
93C05, 93B52, 35K40, 35Q93
Subjects
Details
- Database :
- arXiv
- Journal :
- Mathematics of Control, Signals, and Systems, 34(2):361-391, 2022
- Publication Type :
- Report
- Accession number :
- edsarx.2010.00960
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00498-021-00313-y