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A Data Rate Constrained Observer for Discrete Nonlinear Systems. / Voortman, Quentin; Pogromsky, Alexander Yu.; Matveev, Alexey S.; Nijmeijer, Henk.

57th IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3355-3360 8619714 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Voortman, Q, Pogromsky, AY, Matveev, AS & Nijmeijer, H 2019, A Data Rate Constrained Observer for Discrete Nonlinear Systems. in 57th IEEE Conference on Decision and Control, CDC 2018., 8619714, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 3355-3360, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. https://doi.org/10.1109/CDC.2018.8619714

APA

Voortman, Q., Pogromsky, A. Y., Matveev, A. S., & Nijmeijer, H. (2019). A Data Rate Constrained Observer for Discrete Nonlinear Systems. In 57th IEEE Conference on Decision and Control, CDC 2018 (pp. 3355-3360). [8619714] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619714

Vancouver

Voortman Q, Pogromsky AY, Matveev AS, Nijmeijer H. A Data Rate Constrained Observer for Discrete Nonlinear Systems. In 57th IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 3355-3360. 8619714. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2018.8619714

Author

Voortman, Quentin ; Pogromsky, Alexander Yu. ; Matveev, Alexey S. ; Nijmeijer, Henk. / A Data Rate Constrained Observer for Discrete Nonlinear Systems. 57th IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 3355-3360 (Proceedings of the IEEE Conference on Decision and Control).

BibTeX

@inproceedings{d4111f77a7ea42758d0dd28842083e66,
title = "A Data Rate Constrained Observer for Discrete Nonlinear Systems",
abstract = "In this paper, we develop a communication protocol for the observation of discrete time, possibly unstable, dynamical systems over communication channels with limited communication capacity. We develop an observer based on the upper box dimension for one-way communication channels that leads to a certain type of observability. This communication scheme preserves observability under communication losses which makes the communication scheme robust towards communication losses without feedback in the communication channel. Using Lyapunov-like techniques, we provide bounds on the minimum communication rate required to implement this observer. We also use the Lyapunov dimension to provide analytical upper bounds on the communication rate. We compute an analytical upper bound and an exact expression for the Lyapunov dimension of the smoothened Lozi map. This bound is then tested in simulations of the communication protocol for the observation problem of the smoothened Lozi map.",
author = "Quentin Voortman and Pogromsky, {Alexander Yu.} and Matveev, {Alexey S.} and Henk Nijmeijer",
year = "2019",
month = jan,
day = "18",
doi = "10.1109/CDC.2018.8619714",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3355--3360",
booktitle = "57th IEEE Conference on Decision and Control, CDC 2018",
address = "United States",
note = "57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

}

RIS

TY - GEN

T1 - A Data Rate Constrained Observer for Discrete Nonlinear Systems

AU - Voortman, Quentin

AU - Pogromsky, Alexander Yu.

AU - Matveev, Alexey S.

AU - Nijmeijer, Henk

PY - 2019/1/18

Y1 - 2019/1/18

N2 - In this paper, we develop a communication protocol for the observation of discrete time, possibly unstable, dynamical systems over communication channels with limited communication capacity. We develop an observer based on the upper box dimension for one-way communication channels that leads to a certain type of observability. This communication scheme preserves observability under communication losses which makes the communication scheme robust towards communication losses without feedback in the communication channel. Using Lyapunov-like techniques, we provide bounds on the minimum communication rate required to implement this observer. We also use the Lyapunov dimension to provide analytical upper bounds on the communication rate. We compute an analytical upper bound and an exact expression for the Lyapunov dimension of the smoothened Lozi map. This bound is then tested in simulations of the communication protocol for the observation problem of the smoothened Lozi map.

AB - In this paper, we develop a communication protocol for the observation of discrete time, possibly unstable, dynamical systems over communication channels with limited communication capacity. We develop an observer based on the upper box dimension for one-way communication channels that leads to a certain type of observability. This communication scheme preserves observability under communication losses which makes the communication scheme robust towards communication losses without feedback in the communication channel. Using Lyapunov-like techniques, we provide bounds on the minimum communication rate required to implement this observer. We also use the Lyapunov dimension to provide analytical upper bounds on the communication rate. We compute an analytical upper bound and an exact expression for the Lyapunov dimension of the smoothened Lozi map. This bound is then tested in simulations of the communication protocol for the observation problem of the smoothened Lozi map.

UR - http://www.scopus.com/inward/record.url?scp=85062174566&partnerID=8YFLogxK

U2 - 10.1109/CDC.2018.8619714

DO - 10.1109/CDC.2018.8619714

M3 - Conference contribution

AN - SCOPUS:85062174566

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3355

EP - 3360

BT - 57th IEEE Conference on Decision and Control, CDC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 57th IEEE Conference on Decision and Control, CDC 2018

Y2 - 17 December 2018 through 19 December 2018

ER -

ID: 50905624