Regular Papers

International Journal of Control, Automation and Systems 2011; 9(6): 1086-1094

Published online December 2, 2011

https://doi.org/10.1007/s12555-011-0609-1

© The International Journal of Control, Automation, and Systems

Robust H∞ Consensus Control of Uncertain Multi-Agent Systems with Time Delays

Yang Liu and Yingmin Jia

Beihang University

Abstract

This paper is devoted to the robust H∞ consensus control of multi-agent systems with model parameter uncertainties and external disturbances. In particular, switching networks of multiple agents with general linear dynamics are considered, and uncertain communication delays are also taken into account. It shows that a sufficient condition in terms of linear matrix inequalities (LMIs) is derived for the robust consensus performance with a given H∞ disturbance attenuation level, and meanwhile the unknown feedback matrix of the proposed distributed state feedback protocol is also determined. A numerical example is included to validate the theoretical results.

Keywords Consensus, communication delays, external disturbances, model uncertainties, multi-agent systems, robust H∞ control.

Article

Regular Papers

International Journal of Control, Automation and Systems 2011; 9(6): 1086-1094

Published online December 1, 2011 https://doi.org/10.1007/s12555-011-0609-1

Copyright © The International Journal of Control, Automation, and Systems.

Robust H∞ Consensus Control of Uncertain Multi-Agent Systems with Time Delays

Yang Liu and Yingmin Jia

Beihang University

Abstract

This paper is devoted to the robust H∞ consensus control of multi-agent systems with model parameter uncertainties and external disturbances. In particular, switching networks of multiple agents with general linear dynamics are considered, and uncertain communication delays are also taken into account. It shows that a sufficient condition in terms of linear matrix inequalities (LMIs) is derived for the robust consensus performance with a given H∞ disturbance attenuation level, and meanwhile the unknown feedback matrix of the proposed distributed state feedback protocol is also determined. A numerical example is included to validate the theoretical results.

Keywords: Consensus, communication delays, external disturbances, model uncertainties, multi-agent systems, robust H∞ control.

IJCAS
December 2024

Vol. 22, No. 12, pp. 3545~3811

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