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Robust Boundary Output-Feedback Control of a Reaction-Diffusion Equation with In-Domain Disturbances.

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Title: Robust Boundary Output-Feedback Control of a Reaction-Diffusion Equation with In-Domain Disturbances.
Authors: Ferrante, Francesco1 (AUTHOR) francesco.ferrante@unipg.it, Shreim, Suha2 (AUTHOR), Prieur, Christophe2 (AUTHOR) christophe.prieur@gipsa-lab.fr
Source: Journal of Optimization Theory & Applications. Aug2025, Vol. 206 Issue 2, p1-32. 32p.
Abstract: Output feedback control design for a class of reaction-diffusion equations with Dirichlet anti-collocated sensing and actuation subject to in-domain disturbances is addressed. Within this setting, we design a finite-dimensional dynamic output feedback controller ensuring closed-loop exponential stability and input-output stability with an explicit estimate of the input-output gain. The approach is based on the spectral decomposition of the open-loop infinite-dimensional system and on the use of a suitable Lyapunov functional candidate. Sufficient conditions in the form of matrix inequalities are given to ensure closed-loop stability. These conditions are shown to be always feasible and are employed to devise an optimal controller design algorithm based on the solutions to some linear matrix inequalities. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Robust Boundary Output-Feedback Control of a Reaction-Diffusion Equation with In-Domain Disturbances.
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  Data: <searchLink fieldCode="AR" term="%22Ferrante%2C+Francesco%22">Ferrante, Francesco</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> francesco.ferrante@unipg.it</i><br /><searchLink fieldCode="AR" term="%22Shreim%2C+Suha%22">Shreim, Suha</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Prieur%2C+Christophe%22">Prieur, Christophe</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> christophe.prieur@gipsa-lab.fr</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Optimization+Theory+%26+Applications%22">Journal of Optimization Theory & Applications</searchLink>. Aug2025, Vol. 206 Issue 2, p1-32. 32p.
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  Data: Output feedback control design for a class of reaction-diffusion equations with Dirichlet anti-collocated sensing and actuation subject to in-domain disturbances is addressed. Within this setting, we design a finite-dimensional dynamic output feedback controller ensuring closed-loop exponential stability and input-output stability with an explicit estimate of the input-output gain. The approach is based on the spectral decomposition of the open-loop infinite-dimensional system and on the use of a suitable Lyapunov functional candidate. Sufficient conditions in the form of matrix inequalities are given to ensure closed-loop stability. These conditions are shown to be always feasible and are employed to devise an optimal controller design algorithm based on the solutions to some linear matrix inequalities. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10957-025-02724-2
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        Text: English
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      – TitleFull: Robust Boundary Output-Feedback Control of a Reaction-Diffusion Equation with In-Domain Disturbances.
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              Text: Aug2025
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