Quantized event-based control of nonlinear systems

Tengfei Liu, Zhong-Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper studies event-based control of nonlinear systems with state quantization. It is assumed that the controlled system has a known input-to-state stabilizing control law. Two cases of the implementation of the control system are considered: sampling before quantization and quantization before sampling. The considered quantizer is assumed to have a finite number of quantization levels. By using the arguments of input-to-state stability (ISS), new event-triggering and dynamic quantization mechanisms are designed to deal with the interaction of the quantizer and the sampler. Under an ISS gain condition, it is guaranteed that infinitely fast sampling is avoided and the system state asymptotically converges to the origin.

Original languageEnglish (US)
Title of host publication2015 54th IEEE Conference on Decision and Control, CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4806-4811
Number of pages6
Volume2016-February
ISBN (Print)9781479978861
DOIs
StatePublished - Feb 8 2016
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

Fingerprint

Nonlinear systems
Quantization
Nonlinear Systems
Sampling
Control systems
Control System
Converge
Interaction

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Liu, T., & Jiang, Z-P. (2016). Quantized event-based control of nonlinear systems. In 2015 54th IEEE Conference on Decision and Control, CDC 2015 (Vol. 2016-February, pp. 4806-4811). [7402969] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402969

Quantized event-based control of nonlinear systems. / Liu, Tengfei; Jiang, Zhong-Ping.

2015 54th IEEE Conference on Decision and Control, CDC 2015. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. p. 4806-4811 7402969.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Liu, T & Jiang, Z-P 2016, Quantized event-based control of nonlinear systems. in 2015 54th IEEE Conference on Decision and Control, CDC 2015. vol. 2016-February, 7402969, Institute of Electrical and Electronics Engineers Inc., pp. 4806-4811, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 12/15/15. https://doi.org/10.1109/CDC.2015.7402969
Liu T, Jiang Z-P. Quantized event-based control of nonlinear systems. In 2015 54th IEEE Conference on Decision and Control, CDC 2015. Vol. 2016-February. Institute of Electrical and Electronics Engineers Inc. 2016. p. 4806-4811. 7402969 https://doi.org/10.1109/CDC.2015.7402969
Liu, Tengfei ; Jiang, Zhong-Ping. / Quantized event-based control of nonlinear systems. 2015 54th IEEE Conference on Decision and Control, CDC 2015. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. pp. 4806-4811
@inproceedings{0f5e286aedb347e1963c565a647ee079,
title = "Quantized event-based control of nonlinear systems",
abstract = "This paper studies event-based control of nonlinear systems with state quantization. It is assumed that the controlled system has a known input-to-state stabilizing control law. Two cases of the implementation of the control system are considered: sampling before quantization and quantization before sampling. The considered quantizer is assumed to have a finite number of quantization levels. By using the arguments of input-to-state stability (ISS), new event-triggering and dynamic quantization mechanisms are designed to deal with the interaction of the quantizer and the sampler. Under an ISS gain condition, it is guaranteed that infinitely fast sampling is avoided and the system state asymptotically converges to the origin.",
author = "Tengfei Liu and Zhong-Ping Jiang",
year = "2016",
month = "2",
day = "8",
doi = "10.1109/CDC.2015.7402969",
language = "English (US)",
isbn = "9781479978861",
volume = "2016-February",
pages = "4806--4811",
booktitle = "2015 54th IEEE Conference on Decision and Control, CDC 2015",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - GEN

T1 - Quantized event-based control of nonlinear systems

AU - Liu, Tengfei

AU - Jiang, Zhong-Ping

PY - 2016/2/8

Y1 - 2016/2/8

N2 - This paper studies event-based control of nonlinear systems with state quantization. It is assumed that the controlled system has a known input-to-state stabilizing control law. Two cases of the implementation of the control system are considered: sampling before quantization and quantization before sampling. The considered quantizer is assumed to have a finite number of quantization levels. By using the arguments of input-to-state stability (ISS), new event-triggering and dynamic quantization mechanisms are designed to deal with the interaction of the quantizer and the sampler. Under an ISS gain condition, it is guaranteed that infinitely fast sampling is avoided and the system state asymptotically converges to the origin.

AB - This paper studies event-based control of nonlinear systems with state quantization. It is assumed that the controlled system has a known input-to-state stabilizing control law. Two cases of the implementation of the control system are considered: sampling before quantization and quantization before sampling. The considered quantizer is assumed to have a finite number of quantization levels. By using the arguments of input-to-state stability (ISS), new event-triggering and dynamic quantization mechanisms are designed to deal with the interaction of the quantizer and the sampler. Under an ISS gain condition, it is guaranteed that infinitely fast sampling is avoided and the system state asymptotically converges to the origin.

UR - http://www.scopus.com/inward/record.url?scp=84961994282&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84961994282&partnerID=8YFLogxK

U2 - 10.1109/CDC.2015.7402969

DO - 10.1109/CDC.2015.7402969

M3 - Conference contribution

SN - 9781479978861

VL - 2016-February

SP - 4806

EP - 4811

BT - 2015 54th IEEE Conference on Decision and Control, CDC 2015

PB - Institute of Electrical and Electronics Engineers Inc.

ER -