Ftouhi I, Zuazua Iriondo E (2024)
Publication Type: Conference contribution
Publication year: 2024
Publisher: Institute of Electrical and Electronics Engineers Inc.
Pages Range: 834-837
Conference Proceedings Title: 2024 European Control Conference, ECC 2024
Event location: Stockholm, SWE
ISBN: 9783907144107
DOI: 10.23919/ECC64448.2024.10591236
The optimal placement and design of sensors is commonly encountered in industrial and applied problems, such as urban planning and the supervision of temperature and pressure in gas networks. In essence, sensors are considered optimally designed when they ensure the highest level of observation for the specific phenomenon in question. Typically, this design process is guided by specific objectives and is subject to constraints commonly defined by an appropriate partial differential equation (PDE), taking into account the underlying physics of the process. In the present work, we focus on two independent study cases: The optimal shape design of a convex sensor. • The optimal placement of a finite number of sensors inside a given region. Here, we address the problem in a purely geometric setting, without involving a specific PDE model. We consider a simple and natural geometric criterion of performance, based on distance functions. But, as we shall see, tackling it will require to employ geometric analysis methods.
APA:
Ftouhi, I., & Zuazua Iriondo, E. (2024). Optimal Placement and Shape Design of Sensors via Geometric Criteria. In 2024 European Control Conference, ECC 2024 (pp. 834-837). Stockholm, SWE: Institute of Electrical and Electronics Engineers Inc..
MLA:
Ftouhi, Ilias, and Enrique Zuazua Iriondo. "Optimal Placement and Shape Design of Sensors via Geometric Criteria." Proceedings of the 2024 European Control Conference, ECC 2024, Stockholm, SWE Institute of Electrical and Electronics Engineers Inc., 2024. 834-837.
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