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Robust H ∞ consensus control of uncertain multi-agent systems with time delays

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  • Control Theory
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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.

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Authors and Affiliations

  1. Seventh Research Division and the Department of Systems and Control, and LMIB of the Ministry of Education, Beihang University (BUAA), Beijing, 100191, China

    Yang Liu & Yingmin Jia

Authors
  1. Yang Liu
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  2. Yingmin Jia
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Corresponding author

Correspondence to Yang Liu.

Additional information

Recommended by Editorial Board member Wen-Hua Chen under the direction of Editor Zengqi Sun.

This work is supported by the NSFC (61104147, 61134005, 61104011, 60921001, 90916024, 91116016), the National 973 Program (2012CB821200).

Yang Liu received her B.S. degree in mathematics and her Ph.D. degree in Control Theory and Applications both from Beihang University (BUAA), Beijing, China, in 2005 and 2010, respectively. In 2010, she joined the Seventh Research Division and the Department of Systems and Control at Beihang University, where she is currently a lecturer of automatic control. Her research interests include multi-agent systems and neural networks.

Yingmin Jia received his B.S. degree in Control Theory from Shandong University, Ji’nan, China, in January 1982, and his M.S. and Ph.D. degrees both in Control Theory and Applications from Beihang University (BUAA), Beijing, China, in 1990 and 1993, respectively. In 1993, he joined the Seventh Research Division at Beihang University, where he is currently Professor of automatic control. From February 1995 until February 1996 he was a visiting professor with the Institute of Robotics and Mechatronics of the German Aerospace Center (DLR), Oberpfaffenhofen, Germany. He held an Alexander von Humboldt (AvH) research fellowship with the Institute of Control Engineering at the Technical University Hamburg-Harburg, Hamburg, Germany, from December 1996 until March 1998, and a JSPS research fellowship with the Department of Electrical and Electronic Systems at the Osaka Prefecture University, Osaka, Japan, from March 2000 until March 2002. He was a visiting professor with the Department of Statistics at the University of California Berkeley from December 2006 until March 2007. His current research interests include robust control, adaptive control and intelligent control, and their applications in industrial processes and vehicle systems. He is author and co-author of numerous papers and of the book “Robust H ∞ Control” (Science Press 2007).

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Liu, Y., Jia, Y. Robust H ∞ consensus control of uncertain multi-agent systems with time delays. Int. J. Control Autom. Syst. 9, 1086–1094 (2011). https://doi.org/10.1007/s12555-011-0609-1

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

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