Funnel control for boundary control systems

Marc Puche; Timo Reis; Felix L. Schwenninger

doi:10.3934/eect.2020079

Funnel control for boundary control systems

Marc Puche^*, Timo Reis, Felix L. Schwenninger

^*Corresponding author for this work

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

6 Citations (Scopus)

32 Downloads (Pure)

Abstract

We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.

Original language	English
Pages (from-to)	519-544
Number of pages	26
Journal	Evolution equations and control theory
Volume	10
Issue number	3
DOIs	https://doi.org/10.3934/eect.2020079
Publication status	Published - Sept 2021

Keywords

Boundary control systems
Dissipative operators
Funnel control
Hyperbolic PDEs
Nonlinear feedback
Parabolic PDEs

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10.3934/eect.2020079

1903.03599Submitted version, 1.4 MB

Cite this

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title = "Funnel control for boundary control systems",

abstract = "We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.",

keywords = "Boundary control systems, Dissipative operators, Funnel control, Hyperbolic PDEs, Nonlinear feedback, Parabolic PDEs",

author = "Marc Puche and Timo Reis and Schwenninger, {Felix L.}",

year = "2021",

month = sep,

doi = "10.3934/eect.2020079",

language = "English",

volume = "10",

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journal = "Evolution equations and control theory",

issn = "2163-2472",

publisher = "American Institute of Mathematical Sciences",

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T1 - Funnel control for boundary control systems

AU - Puche, Marc

AU - Reis, Timo

AU - Schwenninger, Felix L.

PY - 2021/9

Y1 - 2021/9

N2 - We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.

AB - We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.

KW - Boundary control systems

KW - Dissipative operators

KW - Funnel control

KW - Hyperbolic PDEs

KW - Nonlinear feedback

KW - Parabolic PDEs

UR - http://www.scopus.com/inward/record.url?scp=85101779926&partnerID=8YFLogxK

U2 - 10.3934/eect.2020079

DO - 10.3934/eect.2020079

M3 - Article

AN - SCOPUS:85101779926

SN - 2163-2472

VL - 10

SP - 519

EP - 544

JO - Evolution equations and control theory

JF - Evolution equations and control theory

IS - 3

ER -

Funnel control for boundary control systems

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Keywords

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