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Data-rate constrained observers of nonlinear systems. / Voortman, Quentin; Pogromsky, Alexander Yu.; Matveev, Alexey S.; Nijmeijer, Henk.

In: Entropy, Vol. 21, No. 3, 282, 01.03.2019.

Research output: Contribution to journalArticlepeer-review

Harvard

Voortman, Q, Pogromsky, AY, Matveev, AS & Nijmeijer, H 2019, 'Data-rate constrained observers of nonlinear systems', Entropy, vol. 21, no. 3, 282. https://doi.org/10.3390/e21030282

APA

Voortman, Q., Pogromsky, A. Y., Matveev, A. S., & Nijmeijer, H. (2019). Data-rate constrained observers of nonlinear systems. Entropy, 21(3), [282]. https://doi.org/10.3390/e21030282

Vancouver

Voortman Q, Pogromsky AY, Matveev AS, Nijmeijer H. Data-rate constrained observers of nonlinear systems. Entropy. 2019 Mar 1;21(3). 282. https://doi.org/10.3390/e21030282

Author

Voortman, Quentin ; Pogromsky, Alexander Yu. ; Matveev, Alexey S. ; Nijmeijer, Henk. / Data-rate constrained observers of nonlinear systems. In: Entropy. 2019 ; Vol. 21, No. 3.

BibTeX

@article{8f514e7030d24f0b868ea507211fb49f,
title = "Data-rate constrained observers of nonlinear systems",
abstract = "In this paper, the design of a data-rate constrained observer for a dynamical system is presented. This observer is designed to function both in discrete time and continuous time. The system is connected to a remote location via a communication channel which can transmit limited amounts of data per unit of time. The objective of the observer is to provide estimates of the state at the remote location through messages that are sent via the channel. The observer is designed such that it is robust toward losses in the communication channel. Upper bounds on the required communication rate to implement the observer are provided in terms of the upper box dimension of the state space and an upper bound on the largest singular value of the system's Jacobian. Results that provide an analytical bound on the required minimum communication rate are then presented. These bounds are obtained by using the Lyapunov dimension of the dynamical system rather than the upper box dimension in the rate. The observer is tested through simulations for the Lozi map and the Lorenz system. For the Lozi map, the Lyapunov dimension is computed. For both systems, the theoretical bounds on the communication rate are compared to the simulated rates.",
keywords = "Data-rate constraints, Nonlinear systems, Observers",
author = "Quentin Voortman and Pogromsky, {Alexander Yu.} and Matveev, {Alexey S.} and Henk Nijmeijer",
year = "2019",
month = mar,
day = "1",
doi = "10.3390/e21030282",
language = "English",
volume = "21",
journal = "Entropy",
issn = "1099-4300",
publisher = "MDPI AG",
number = "3",

}

RIS

TY - JOUR

T1 - Data-rate constrained observers of nonlinear systems

AU - Voortman, Quentin

AU - Pogromsky, Alexander Yu.

AU - Matveev, Alexey S.

AU - Nijmeijer, Henk

PY - 2019/3/1

Y1 - 2019/3/1

N2 - In this paper, the design of a data-rate constrained observer for a dynamical system is presented. This observer is designed to function both in discrete time and continuous time. The system is connected to a remote location via a communication channel which can transmit limited amounts of data per unit of time. The objective of the observer is to provide estimates of the state at the remote location through messages that are sent via the channel. The observer is designed such that it is robust toward losses in the communication channel. Upper bounds on the required communication rate to implement the observer are provided in terms of the upper box dimension of the state space and an upper bound on the largest singular value of the system's Jacobian. Results that provide an analytical bound on the required minimum communication rate are then presented. These bounds are obtained by using the Lyapunov dimension of the dynamical system rather than the upper box dimension in the rate. The observer is tested through simulations for the Lozi map and the Lorenz system. For the Lozi map, the Lyapunov dimension is computed. For both systems, the theoretical bounds on the communication rate are compared to the simulated rates.

AB - In this paper, the design of a data-rate constrained observer for a dynamical system is presented. This observer is designed to function both in discrete time and continuous time. The system is connected to a remote location via a communication channel which can transmit limited amounts of data per unit of time. The objective of the observer is to provide estimates of the state at the remote location through messages that are sent via the channel. The observer is designed such that it is robust toward losses in the communication channel. Upper bounds on the required communication rate to implement the observer are provided in terms of the upper box dimension of the state space and an upper bound on the largest singular value of the system's Jacobian. Results that provide an analytical bound on the required minimum communication rate are then presented. These bounds are obtained by using the Lyapunov dimension of the dynamical system rather than the upper box dimension in the rate. The observer is tested through simulations for the Lozi map and the Lorenz system. For the Lozi map, the Lyapunov dimension is computed. For both systems, the theoretical bounds on the communication rate are compared to the simulated rates.

KW - Data-rate constraints

KW - Nonlinear systems

KW - Observers

UR - http://www.scopus.com/inward/record.url?scp=85063572371&partnerID=8YFLogxK

U2 - 10.3390/e21030282

DO - 10.3390/e21030282

M3 - Article

AN - SCOPUS:85063572371

VL - 21

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 3

M1 - 282

ER -

ID: 50905538