Robust output regulation of the linearized Boussinesq equations with boundary control and observation

Konsta Huhtala; Lassi Paunonen; Weiwei Hu

doi:10.1007/s00498-021-00313-y

Robust output regulation of the linearized Boussinesq equations with boundary control and observation

Konsta Huhtala, Lassi Paunonen, Weiwei Hu

Computing Sciences

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2 Citations (Scopus)

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Abstract

We study a 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 cascade. As the main contribution, we design a low-dimensional internal model-based controller for robust output tracking of the room model. The controller’s performance is demonstrated through a numerical example.

Original language	English
Number of pages	31
Journal	Mathematics of Control, Signals, and Systems
Volume	34
Issue number	2
Early online date	8 Dec 2021
DOIs	https://doi.org/10.1007/s00498-021-00313-y
Publication status	Published - 2022
Publication type	A1 Journal article-refereed

Keywords

Coupled systems
Fluid flows
Linear systems
Output regulation
Partial differential equations

Publication forum classification

Publication forum level 1

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Control and Optimization
Applied Mathematics

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10.1007/s00498-021-00313-yLicence: CC BY

Huhtala2021_Article_RobustOutputRegulationOfTheLinFinal published version, 1.66 MBLicence: CC BY

https://urn.fi/URN:NBN:fi:tuni-202112279528Licence: CC BY

Cite this

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title = "Robust output regulation of the linearized Boussinesq equations with boundary control and observation",

abstract = "We study a 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 cascade. As the main contribution, we design a low-dimensional internal model-based controller for robust output tracking of the room model. The controller{\textquoteright}s performance is demonstrated through a numerical example.",

keywords = "Coupled systems, Fluid flows, Linear systems, Output regulation, Partial differential equations",

author = "Konsta Huhtala and Lassi Paunonen and Weiwei Hu",

note = "Funding Information: The research was supported by the Academy of Finland Grant No. 310489 held by L. Paunonen. L. Paunonen was funded by the Academy of Finland Grant No. 298182. W. Hu was partially supported by the NSF Grant DMS-1813570. Publisher Copyright: {\textcopyright} 2021, The Author(s).",

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language = "English",

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journal = "Mathematics of Control, Signals, and Systems",

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T1 - Robust output regulation of the linearized Boussinesq equations with boundary control and observation

AU - Huhtala, Konsta

AU - Paunonen, Lassi

AU - Hu, Weiwei

N1 - Funding Information: The research was supported by the Academy of Finland Grant No. 310489 held by L. Paunonen. L. Paunonen was funded by the Academy of Finland Grant No. 298182. W. Hu was partially supported by the NSF Grant DMS-1813570. Publisher Copyright: © 2021, The Author(s).

PY - 2022

Y1 - 2022

N2 - We study a 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 cascade. As the main contribution, we design a low-dimensional internal model-based controller for robust output tracking of the room model. The controller’s performance is demonstrated through a numerical example.

AB - We study a 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 cascade. As the main contribution, we design a low-dimensional internal model-based controller for robust output tracking of the room model. The controller’s performance is demonstrated through a numerical example.

KW - Coupled systems

KW - Fluid flows

KW - Linear systems

KW - Output regulation

KW - Partial differential equations

U2 - 10.1007/s00498-021-00313-y

DO - 10.1007/s00498-021-00313-y

M3 - Article

AN - SCOPUS:85120805238

SN - 0932-4194

VL - 34

JO - Mathematics of Control, Signals, and Systems

JF - Mathematics of Control, Signals, and Systems

IS - 2

ER -

Robust output regulation of the linearized Boussinesq equations with boundary control and observation

Abstract

Keywords

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