Distributed control of nonlinear uncertain systems: A cyclic-small-gain approach

Tengfei Liu, Zhong-Ping Jiang

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

Abstract

This paper presents a cyclic-small-gain approach to distributed control of nonlinear multi-agent systems in the strict-feedback form for output agreement. Through a novel nonlinear control law design, the output agreement problem is transformed into a stabilization problem, and the closed-loop multi-agent system is transformed into a large-scale system composed of input-to-output stable (IOS) subsystems which are interconnected with each other through redefined outputs. The cyclic-small-gain theorem is employed as a fundamental tool to guarantee the IOS of the closed-loop large-scale system and the practical output-agreement of the multi-agent system. Moreover, if the system is disturbance-free, then accurate output-agreement is achievable. Interestingly, the closed-loop multi-agent system is also robust with respect to bounded time-delays in information exchange.

Original languageEnglish (US)
Title of host publicationProceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2572-2577
Number of pages6
Volume2015-March
EditionMarch
DOIs
StatePublished - Mar 2 2015
Event2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 - Shenyang, China
Duration: Jun 29 2014Jul 4 2014

Other

Other2014 11th World Congress on Intelligent Control and Automation, WCICA 2014
CountryChina
CityShenyang
Period6/29/147/4/14

Fingerprint

Uncertain systems
Multi agent systems
Large scale systems
Time delay
Stabilization
Feedback

Keywords

  • Distributed control
  • Input-to-output stability
  • Input-to-state stability
  • Nonlinear uncertain systems
  • Small-gain theorem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Science Applications

Cite this

Liu, T., & Jiang, Z-P. (2015). Distributed control of nonlinear uncertain systems: A cyclic-small-gain approach. In Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014 (March ed., Vol. 2015-March, pp. 2572-2577). [7053130] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WCICA.2014.7053130

Distributed control of nonlinear uncertain systems : A cyclic-small-gain approach. / Liu, Tengfei; Jiang, Zhong-Ping.

Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. Vol. 2015-March March. ed. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2572-2577 7053130.

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

Liu, T & Jiang, Z-P 2015, Distributed control of nonlinear uncertain systems: A cyclic-small-gain approach. in Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. March edn, vol. 2015-March, 7053130, Institute of Electrical and Electronics Engineers Inc., pp. 2572-2577, 2014 11th World Congress on Intelligent Control and Automation, WCICA 2014, Shenyang, China, 6/29/14. https://doi.org/10.1109/WCICA.2014.7053130
Liu T, Jiang Z-P. Distributed control of nonlinear uncertain systems: A cyclic-small-gain approach. In Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. March ed. Vol. 2015-March. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2572-2577. 7053130 https://doi.org/10.1109/WCICA.2014.7053130
Liu, Tengfei ; Jiang, Zhong-Ping. / Distributed control of nonlinear uncertain systems : A cyclic-small-gain approach. Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. Vol. 2015-March March. ed. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 2572-2577
@inproceedings{cddcc385783949828750d95b87b1fd63,
title = "Distributed control of nonlinear uncertain systems: A cyclic-small-gain approach",
abstract = "This paper presents a cyclic-small-gain approach to distributed control of nonlinear multi-agent systems in the strict-feedback form for output agreement. Through a novel nonlinear control law design, the output agreement problem is transformed into a stabilization problem, and the closed-loop multi-agent system is transformed into a large-scale system composed of input-to-output stable (IOS) subsystems which are interconnected with each other through redefined outputs. The cyclic-small-gain theorem is employed as a fundamental tool to guarantee the IOS of the closed-loop large-scale system and the practical output-agreement of the multi-agent system. Moreover, if the system is disturbance-free, then accurate output-agreement is achievable. Interestingly, the closed-loop multi-agent system is also robust with respect to bounded time-delays in information exchange.",
keywords = "Distributed control, Input-to-output stability, Input-to-state stability, Nonlinear uncertain systems, Small-gain theorem",
author = "Tengfei Liu and Zhong-Ping Jiang",
year = "2015",
month = "3",
day = "2",
doi = "10.1109/WCICA.2014.7053130",
language = "English (US)",
volume = "2015-March",
pages = "2572--2577",
booktitle = "Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
edition = "March",

}

TY - GEN

T1 - Distributed control of nonlinear uncertain systems

T2 - A cyclic-small-gain approach

AU - Liu, Tengfei

AU - Jiang, Zhong-Ping

PY - 2015/3/2

Y1 - 2015/3/2

N2 - This paper presents a cyclic-small-gain approach to distributed control of nonlinear multi-agent systems in the strict-feedback form for output agreement. Through a novel nonlinear control law design, the output agreement problem is transformed into a stabilization problem, and the closed-loop multi-agent system is transformed into a large-scale system composed of input-to-output stable (IOS) subsystems which are interconnected with each other through redefined outputs. The cyclic-small-gain theorem is employed as a fundamental tool to guarantee the IOS of the closed-loop large-scale system and the practical output-agreement of the multi-agent system. Moreover, if the system is disturbance-free, then accurate output-agreement is achievable. Interestingly, the closed-loop multi-agent system is also robust with respect to bounded time-delays in information exchange.

AB - This paper presents a cyclic-small-gain approach to distributed control of nonlinear multi-agent systems in the strict-feedback form for output agreement. Through a novel nonlinear control law design, the output agreement problem is transformed into a stabilization problem, and the closed-loop multi-agent system is transformed into a large-scale system composed of input-to-output stable (IOS) subsystems which are interconnected with each other through redefined outputs. The cyclic-small-gain theorem is employed as a fundamental tool to guarantee the IOS of the closed-loop large-scale system and the practical output-agreement of the multi-agent system. Moreover, if the system is disturbance-free, then accurate output-agreement is achievable. Interestingly, the closed-loop multi-agent system is also robust with respect to bounded time-delays in information exchange.

KW - Distributed control

KW - Input-to-output stability

KW - Input-to-state stability

KW - Nonlinear uncertain systems

KW - Small-gain theorem

UR - http://www.scopus.com/inward/record.url?scp=84932180391&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84932180391&partnerID=8YFLogxK

U2 - 10.1109/WCICA.2014.7053130

DO - 10.1109/WCICA.2014.7053130

M3 - Conference contribution

AN - SCOPUS:84932180391

VL - 2015-March

SP - 2572

EP - 2577

BT - Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014

PB - Institute of Electrical and Electronics Engineers Inc.

ER -