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ISS Synthesis of Parabolic Systems with Uncertain Parameters Using In-Domain Sensing and Actuation

Abstract : Linear proportional ISS synthesis of parabolic systems is developed within the practical framework of in-domain embedded sensing and actuation. The underlying system is affected by external disturbances and it is governed by a non-homogeneous reaction-diffusion PDE with a priori unknown spatially varying parameters. The present investigation focuses on practically motivated sampled-in-space sensing and actuation. A finite number of available sensing and actuating devices are assumed to be located along the one-dimensional spatial domain of interest. Tuning of the controller gains is then constructively developed by means of the Lyapunov approach to achieve a desired attenuation level for external distributed disturbances, affecting the system in question. Dual observer design is additionally developed within the present framework. Theoretical results are finally supported by simulations.
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https://hal.univ-angers.fr/hal-02507107
Contributeur : Marie-Françoise Gerard <>
Soumis le : jeudi 12 mars 2020 - 17:39:49
Dernière modification le : vendredi 13 mars 2020 - 01:44:14

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  • HAL Id : hal-02507107, version 1

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Yuri Orlov, Laurent Autrique, Laetitia Perez. ISS Synthesis of Parabolic Systems with Uncertain Parameters Using In-Domain Sensing and Actuation. 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02507107⟩

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