Robust controllers for a flexible satellite model

Thavamani Govindaraj; Jukka-Pekka Humaloja; Lassi Paunonen

doi:10.3934/mcrf.2023007

Robust controllers for a flexible satellite model

Thavamani Govindaraj^*
, Jukka-Pekka Humaloja
, Lassi Paunonen

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

1 Sitaatiot (Scopus)

22 Lataukset (Pure)

Abstrakti

We consider a PDE-ODE model of a flexible satellite that is composed of two identical flexible solar panels and a center rigid body. We prove that the satellite model is exponentially stable in the sense that the energy of the solutions decays to zero exponentially. In addition, we construct two internal model based controllers, a passive controller and an observer based controller, such that the linear and angular velocities of the center rigid body converge to the given sinusoidal signals asymptotically. A numerical simulation is presented to compare the performances of the two controllers.

Alkuperäiskieli	Englanti
Sivut	356-385
Sivumäärä	30
Julkaisu	Mathematical Control and Related Fields
Vuosikerta	14
Numero	1
Varhainen verkossa julkaisun päivämäärä	2023
DOI - pysyväislinkit	https://doi.org/10.3934/mcrf.2023007
Tila	Julkaistu - maalisk. 2024
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Rahoitus

93B28. Key words and phrases. Distributed parameter systems, stability analysis, output regulation, coupled PDE-ODE system, boundary control system. The research was supported by the Academy of Finland grants 298182, 310489 and 349002 . J.-P. Humaloja is funded by grants from the Jenny and Antti Wihuri Foundation and the Vilho, Yrjö and Kalle Väisälä Foundation. ∗Corresponding author: Thavamani Govindaraj.

Rahoittajat	Rahoittajan numero
Vilho, Yrjö and Kalle Väisälä Foundation
Academy of Finland	310489, 349002, 298182
Jenny ja Antti Wihurin rahasto

Julkaisufoorumi-taso

Jufo-taso 1

!!ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

Pääsy asiakirjaan

10.3934/mcrf.2023007

GovHum23
This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.
Accepted author manuscript, 710 KBLisenssi: Unspecified

https://urn.fi/URN:NBN:fi:tuni-202402052088Lisenssi: Unspecified

Siteeraa tätä

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abstract = "We consider a PDE-ODE model of a flexible satellite that is composed of two identical flexible solar panels and a center rigid body. We prove that the satellite model is exponentially stable in the sense that the energy of the solutions decays to zero exponentially. In addition, we construct two internal model based controllers, a passive controller and an observer based controller, such that the linear and angular velocities of the center rigid body converge to the given sinusoidal signals asymptotically. A numerical simulation is presented to compare the performances of the two controllers.",

keywords = "boundary control system, coupled PDE-ODE system, Distributed parameter systems, output regulation, stability analysis",

author = "Thavamani Govindaraj and Jukka-Pekka Humaloja and Lassi Paunonen",

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AU - Govindaraj, Thavamani

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N2 - We consider a PDE-ODE model of a flexible satellite that is composed of two identical flexible solar panels and a center rigid body. We prove that the satellite model is exponentially stable in the sense that the energy of the solutions decays to zero exponentially. In addition, we construct two internal model based controllers, a passive controller and an observer based controller, such that the linear and angular velocities of the center rigid body converge to the given sinusoidal signals asymptotically. A numerical simulation is presented to compare the performances of the two controllers.

AB - We consider a PDE-ODE model of a flexible satellite that is composed of two identical flexible solar panels and a center rigid body. We prove that the satellite model is exponentially stable in the sense that the energy of the solutions decays to zero exponentially. In addition, we construct two internal model based controllers, a passive controller and an observer based controller, such that the linear and angular velocities of the center rigid body converge to the given sinusoidal signals asymptotically. A numerical simulation is presented to compare the performances of the two controllers.

KW - boundary control system

KW - coupled PDE-ODE system

KW - Distributed parameter systems

KW - output regulation

KW - stability analysis

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DO - 10.3934/mcrf.2023007

M3 - Article

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EP - 385

JO - Mathematical Control and Related Fields

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IS - 1

ER -

Robust controllers for a flexible satellite model

Abstrakti

Rahoitus

Julkaisufoorumi-taso

!!ASJC Scopus subject areas

Pääsy asiakirjaan

Sormenjälki

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