Funnel control for a moving water tank

Thomas Berger; Marc Puche; Felix L. Schwenninger

doi:10.1016/j.automatica.2021.109999

Funnel control for a moving water tank

Thomas Berger^*, Marc Puche, Felix L. Schwenninger

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

23 Citations (Scopus)

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Abstract

We study tracking control for a nonlinear moving water tank system modeled by the linearized Saint-Venant equations, where the output is given by the position of the tank and the control input is the force acting on it. For a given reference signal, the objective is that the tracking error evolves within a pre-specified performance funnel. Exploiting recent results in funnel control, this can be achieved by showing that inter alia the system's internal dynamics are bounded-input, bounded-output stable.

Original language	English
Article number	109999
Journal	Automatica
Volume	135
Early online date	12 Nov 2021
DOIs	https://doi.org/10.1016/j.automatica.2021.109999
Publication status	Published - Jan 2022

Keywords

Adaptive control
Funnel control
Saint-Venant equations
Sloshing
Well-posed systems
22/4 OA procedure

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10.1016/j.automatica.2021.109999

1-s2.0-S0005109821005252-mainFinal published version, 881 KBLicence: Taverne

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title = "Funnel control for a moving water tank",

abstract = "We study tracking control for a nonlinear moving water tank system modeled by the linearized Saint-Venant equations, where the output is given by the position of the tank and the control input is the force acting on it. For a given reference signal, the objective is that the tracking error evolves within a pre-specified performance funnel. Exploiting recent results in funnel control, this can be achieved by showing that inter alia the system's internal dynamics are bounded-input, bounded-output stable.",

keywords = "Adaptive control, Funnel control, Saint-Venant equations, Sloshing, Well-posed systems, 22/4 OA procedure",

author = "Thomas Berger and Marc Puche and Schwenninger, {Felix L.}",

note = "Funding Information: This work was supported by the German Research Foundation (Deutsche Forschungsgemeinschaft) via the grants BE 6263/1-1 and RE 2917/4-1 . The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Rafael Vazquez under the direction of Editor Miroslav Krstic. Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",

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AU - Berger, Thomas

AU - Puche, Marc

AU - Schwenninger, Felix L.

N1 - Funding Information: This work was supported by the German Research Foundation (Deutsche Forschungsgemeinschaft) via the grants BE 6263/1-1 and RE 2917/4-1 . The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Rafael Vazquez under the direction of Editor Miroslav Krstic. Publisher Copyright: © 2021 Elsevier Ltd

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N2 - We study tracking control for a nonlinear moving water tank system modeled by the linearized Saint-Venant equations, where the output is given by the position of the tank and the control input is the force acting on it. For a given reference signal, the objective is that the tracking error evolves within a pre-specified performance funnel. Exploiting recent results in funnel control, this can be achieved by showing that inter alia the system's internal dynamics are bounded-input, bounded-output stable.

AB - We study tracking control for a nonlinear moving water tank system modeled by the linearized Saint-Venant equations, where the output is given by the position of the tank and the control input is the force acting on it. For a given reference signal, the objective is that the tracking error evolves within a pre-specified performance funnel. Exploiting recent results in funnel control, this can be achieved by showing that inter alia the system's internal dynamics are bounded-input, bounded-output stable.

KW - Adaptive control

KW - Funnel control

KW - Saint-Venant equations

KW - Sloshing

KW - Well-posed systems

KW - 22/4 OA procedure

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DO - 10.1016/j.automatica.2021.109999

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SN - 0005-1098

VL - 135

JO - Automatica

JF - Automatica

M1 - 109999

ER -

Funnel control for a moving water tank

Abstract

Keywords

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