Continuous time observers of nonlinear systems with data-rate constraints

Quentin Voortman (Corresponding author), Alexander Pogromsky, Alexey Matveev, Henk Nijmeijer

Research output: Contribution to journalConference articleAcademicpeer-review

1 Citation (Scopus)

Abstract

In this paper, we present the design of a non-classical observer that constructs estimates of the state of continuous nonlinear systems at remote locations. The system is connected to the remote location through a communication channel which can only transmit limited amounts of data per unit of time. The observer is designed with the objective that it is as data-efficient as possible whilst possessing a certain robustness towards communication losses without any feedback in the communication channel. We provide bounds for the sufficient data-rate to implement the observer. We apply the theory to the problem of observing the Lorenz system over a channel with minimal data-rates.

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Nonlinear systems
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Communication

Keywords

  • Continuous systems
  • Limited data rate
  • Nonlinear systems
  • Observers
  • State estimation

Cite this

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title = "Continuous time observers of nonlinear systems with data-rate constraints",
abstract = "In this paper, we present the design of a non-classical observer that constructs estimates of the state of continuous nonlinear systems at remote locations. The system is connected to the remote location through a communication channel which can only transmit limited amounts of data per unit of time. The observer is designed with the objective that it is as data-efficient as possible whilst possessing a certain robustness towards communication losses without any feedback in the communication channel. We provide bounds for the sufficient data-rate to implement the observer. We apply the theory to the problem of observing the Lorenz system over a channel with minimal data-rates.",
keywords = "Continuous systems, Limited data rate, Nonlinear systems, Observers, State estimation",
author = "Quentin Voortman and Alexander Pogromsky and Alexey Matveev and Henk Nijmeijer",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.ifacol.2018.12.116",
language = "English",
volume = "51",
pages = "192--197",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
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Continuous time observers of nonlinear systems with data-rate constraints. / Voortman, Quentin (Corresponding author); Pogromsky, Alexander; Matveev, Alexey; Nijmeijer, Henk.

In: IFAC-PapersOnLine, Vol. 51, No. 33, 01.01.2018, p. 192-197.

Research output: Contribution to journalConference articleAcademicpeer-review

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T1 - Continuous time observers of nonlinear systems with data-rate constraints

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AU - Pogromsky,Alexander

AU - Matveev,Alexey

AU - Nijmeijer,Henk

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AB - In this paper, we present the design of a non-classical observer that constructs estimates of the state of continuous nonlinear systems at remote locations. The system is connected to the remote location through a communication channel which can only transmit limited amounts of data per unit of time. The observer is designed with the objective that it is as data-efficient as possible whilst possessing a certain robustness towards communication losses without any feedback in the communication channel. We provide bounds for the sufficient data-rate to implement the observer. We apply the theory to the problem of observing the Lorenz system over a channel with minimal data-rates.

KW - Continuous systems

KW - Limited data rate

KW - Nonlinear systems

KW - Observers

KW - State estimation

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