Remote state estimation problem:Towards the data-rate limit along the avenue of the second Lyapunov method

Christoph Kawan; A. Matveev; A.Y. (Sasha) Pogromskiy

doi:10.1016/j.automatica.2020.109467

Remote state estimation problem:Towards the data-rate limit along the avenue of the second Lyapunov method

Christoph Kawan, A. Matveev, A.Y. (Sasha) Pogromskiy (Corresponding author)

Dynamics and Control

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

10 Citaten (Scopus)

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In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which the state of a system can be estimated so that the estimation quality does not degrade over time and, conversely, can be improved. The remote observer here is assumed to receive its data through a communication channel of finite bit-rate capacity. In this paper, we provide a new characterization of the restoration entropy which does not require to compute any temporal limit, i.e., an asymptotic quantity. Our new formula is based on the idea of finding a specific Riemannian metric on the state space which makes the metric-dependent upper estimate of the restoration entropy as tight as one wishes.

Originele taal-2	Engels
Artikelnummer	109467
Aantal pagina's	12
Tijdschrift	Automatica
Volume	125
Nummer van het tijdschrift	March
DOI's	https://doi.org/10.1016/j.automatica.2020.109467
Status	Gepubliceerd - mrt. 2021

Financiering

A. Pogromsky acknowledges his partial support by the UCoCoS project which has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 675080 . A. Matveev acknowledges his support by the Ministry of Science and Higher Education of the Russian Federation (appl. 2020-220-08-4683 ). C. Kawan is supported by the German Research Foundation (DFG) through the grant ZA 873/4-1 . A preliminary version of this paper was presented at the 2020 IFAC World Congress ( Kawan, Matveev, & Pogromsky, 2020 ).

Financiers	Financiernummer
Horizon 2020 Framework Programme
H2020 Marie Skłodowska-Curie Actions	675080
Deutsche Forschungsgemeinschaft	ZA 873/4-1
Ministry of Education and Sciences of Russia	2020-220-08-4683

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abstract = "In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which the state of a system can be estimated so that the estimation quality does not degrade over time and, conversely, can be improved. The remote observer here is assumed to receive its data through a communication channel of finite bit-rate capacity. In this paper, we provide a new characterization of the restoration entropy which does not require to compute any temporal limit, i.e., an asymptotic quantity. Our new formula is based on the idea of finding a specific Riemannian metric on the state space which makes the metric-dependent upper estimate of the restoration entropy as tight as one wishes.",

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Remote state estimation problem:Towards the data-rate limit along the avenue of the second Lyapunov method

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