Funnel control for a moving water tank

Thomas Berger; Marc Puche; Felix Schwenninger

doi:10.48550/arXiv.1902.00586

Funnel control for a moving water tank

Thomas Berger
, Marc Puche
, Felix Schwenninger

Research output: Working paper › Preprint › Academic

27 Downloads (Pure)

Abstract

We study tracking control for a nonlinear moving water tank system modelled 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
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.1902.00586
Publication status	Published - 1 Feb 2019

Keywords

math.OC
93C20 (Primary) 35Q93, 47N70 (Secondary)

Access to Document

10.48550/arXiv.1902.00586

PreprintFinal published version, 867 KB

Funnel control for a moving water tank
Berger, T., Puche, M. & Schwenninger, F. L., Jan 2022, In: Automatica. 135, 109999.
Research output: Contribution to journal › Article › Academic › peer-review

Open Access
File
31 Link opens in a new tab Citations (Scopus)

161 Downloads (Pure)

Cite this

@techreport{6ae4911b9fd64fbe9ebe3c1c800d48d0,

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

abstract = " We study tracking control for a nonlinear moving water tank system modelled 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 = "math.OC, 93C20 (Primary) 35Q93, 47N70 (Secondary)",

author = "Thomas Berger and Marc Puche and Felix Schwenninger",

note = "10 pages, the original version was revised and more details were added",

year = "2019",

month = feb,

day = "1",

doi = "10.48550/arXiv.1902.00586",

language = "English",

publisher = "ArXiv.org",

type = "WorkingPaper",

institution = "ArXiv.org",

}

TY - UNPB

T1 - Funnel control for a moving water tank

AU - Berger, Thomas

AU - Puche, Marc

AU - Schwenninger, Felix

N1 - 10 pages, the original version was revised and more details were added

PY - 2019/2/1

Y1 - 2019/2/1

N2 - We study tracking control for a nonlinear moving water tank system modelled 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 modelled 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 - math.OC

KW - 93C20 (Primary) 35Q93, 47N70 (Secondary)

U2 - 10.48550/arXiv.1902.00586

DO - 10.48550/arXiv.1902.00586

M3 - Preprint

BT - Funnel control for a moving water tank

PB - ArXiv.org

ER -

Funnel control for a moving water tank

Abstract

Keywords

Access to Document

Fingerprint

Research output

Funnel control for a moving water tank

Cite this