A data rate constrained observer for discrete nonlinear systems

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Uittreksel

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.

Originele taal-2Engels
Titel2018 IEEE Conference on Decision and Control, CDC 2018
Plaats van productiePiscataway
UitgeverijInstitute of Electrical and Electronics Engineers
Pagina's3355-3360
Aantal pagina's6
ISBN van elektronische versie978-1-5386-1395-5
ISBN van geprinte versie978-1-5386-1396-2
DOI's
StatusGepubliceerd - 18 jan 2019
Evenement57th IEEE Conference on Decision and Control, CDC 2018 - Miami, Verenigde Staten van Amerika
Duur: 17 dec 201819 dec 2018
Congresnummer: 57

Congres

Congres57th IEEE Conference on Decision and Control, CDC 2018
Verkorte titelCDC 2018
LandVerenigde Staten van Amerika
StadMiami
Periode17/12/1819/12/18

Vingerafdruk

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

Citeer dit

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 (blz. 3355-3360). [8619714] Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/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, 2019. blz. 3355-3360
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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, Piscataway, blz. 3355-3360, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, Verenigde Staten van Amerika, 17/12/18. https://doi.org/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, 2019. blz. 3355-3360 8619714.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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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.

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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. 2019. blz. 3355-3360. 8619714 https://doi.org/10.1109/CDC.2018.8619714