A data rate constrained observer for discrete nonlinear systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)

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.

LanguageEnglish
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages3355-3360
Number of pages6
ISBN (Electronic)978-1-5386-1395-5
ISBN (Print)978-1-5386-1396-2
DOIs
StatePublished - 18 Jan 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: 17 Dec 201819 Dec 2018
Conference number: 57

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
Abbreviated titleCDC 2018
CountryUnited States
CityMiami
Period17/12/1819/12/18

Fingerprint

Discrete Systems
Nonlinear systems
Observer
Nonlinear Systems
Communication
Communication Channels
Lyapunov
Observability
Communication Protocol
Upper bound
Box Dimension
Network protocols
Dynamical systems
Discrete-time
Dynamical system
Unstable
Feedback
Simulation

Cite this

Voortman, Q., Pogromsky, A. Y., Matveev, A. S., & Nijmeijer, H. (2019). A data rate constrained observer for discrete nonlinear systems. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 3355-3360). [8619714] Piscataway: Institute of Electrical and Electronics Engineers (IEEE). DOI: 10.1109/CDC.2018.8619714
Voortman, Quentin ; Pogromsky, Alexander Yu ; Matveev, Alexey S. ; Nijmeijer, Henk. / A data rate constrained observer for discrete nonlinear systems. 2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway : Institute of Electrical and Electronics Engineers (IEEE), 2019. pp. 3355-3360
@inproceedings{a0f87c8c1f3f45f2a980c8e216d10c62,
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 = "1",
day = "18",
doi = "10.1109/CDC.2018.8619714",
language = "English",
isbn = "978-1-5386-1396-2",
pages = "3355--3360",
booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",
publisher = "Institute of Electrical and Electronics Engineers (IEEE)",
address = "United States",

}

Voortman, Q, Pogromsky, AY, Matveev, AS & Nijmeijer, H 2019, A data rate constrained observer for discrete nonlinear systems. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619714, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, pp. 3355-3360, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. DOI: 10.1109/CDC.2018.8619714

A data rate constrained observer for discrete nonlinear systems. / Voortman, Quentin; Pogromsky, Alexander Yu; Matveev, Alexey S.; Nijmeijer, Henk.

2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway : Institute of Electrical and Electronics Engineers (IEEE), 2019. p. 3355-3360 8619714.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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

SN - 978-1-5386-1396-2

SP - 3355

EP - 3360

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

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway

ER -

Voortman Q, Pogromsky AY, Matveev AS, Nijmeijer H. A data rate constrained observer for discrete nonlinear systems. In 2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway: Institute of Electrical and Electronics Engineers (IEEE). 2019. p. 3355-3360. 8619714. Available from, DOI: 10.1109/CDC.2018.8619714