English

Robust Output Regulation of the Linearized Boussinesq Equations with Boundary Control and Observation

Optimization and Control 2023-03-01 v1

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.

Keywords

Cite

@article{arxiv.2010.00960,
  title  = {Robust Output Regulation of the Linearized Boussinesq Equations with Boundary Control and Observation},
  author = {Konsta Huhtala and Lassi Paunonen and Weiwei Hu},
  journal= {arXiv preprint arXiv:2010.00960},
  year   = {2023}
}

Comments

26 pages, 9 figures, submitted