Funnel control for boundary control systems

Marc Puche; Timo Reis; Felix Schwenninger

doi:10.48550/arXiv.1903.03599

Funnel control for boundary control systems

Marc Puche^*, Timo Reis, Felix Schwenninger

^*Corresponding author for this work

Research output: Working paper › Preprint › Academic

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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
Publisher	ArXiv.org
Number of pages	26
DOIs	https://doi.org/10.48550/arXiv.1903.03599
Publication status	Published - 8 Mar 2019

Keywords

math.OC
math.AP
Primary: 93C20, 93C40, Secondary: 47H06

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10.48550/arXiv.1903.03599

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Funnel control for boundary control systems
Puche, M., Reis, T. & Schwenninger, F. L., Sept 2021, In: Evolution equations and control theory. 10, 3, p. 519-544 26 p.
Research output: Contribution to journal › Article › Academic › peer-review

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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. ",

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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.

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KW - math.AP

KW - Primary: 93C20, 93C40, Secondary: 47H06

U2 - 10.48550/arXiv.1903.03599

DO - 10.48550/arXiv.1903.03599

M3 - Preprint

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PB - ArXiv.org

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Funnel control for boundary control systems

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Funnel control for boundary control systems

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