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Dynamic optimization for multi-agent systems with external disturbances

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Abstract

This paper studies the dynamic optimization problem for multi-agent systems in the presence of external disturbances. Different from the existing distributed optimization results, we formulate an optimization problem of continuous-time multi-agent systems with time-varying disturbance generated by an exosystem. Based on internal model and Lyapunov-based method, a distributed design is proposed to achieve the optimization. Finally, an example is given to illustrate the proposed optimization design.

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Authors and Affiliations

  1. Key Laboratory of Systems and Control, Institute of Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Xinghu Wang, Peng Yi & Yiguang Hong

Authors
  1. Xinghu Wang
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  2. Peng Yi
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  3. Yiguang Hong
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Corresponding author

Correspondence to Xinghu Wang.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 61174071, 61333001).

Xinghu WANG received his B.S. and Ph.D. degrees from Shandong University, Weihai, and University of Science and Technology of China in 2007 and 2012, respectively. He is currently a postdoctoral fellow in Academy of Mathematics and Systems Science, Chinese Academy of Sciences. His research interests include nonlinear dynamics and control and multi-agent systems.

Peng YI received his B.S. degree from University of Science and Technology of China in 2011. He is currently a Ph.D. candidate in Academy of Mathematics and Systems Science, Chinese Academy of Sciences. His research interests include distribute optimization and multi-agent systems.

Yiguang HONG received his B.S. and M.S. degrees from Department of Mechanics, Peking University, China, and Ph.D. degree from Chinese Academy of Sciences (CAS). He is currently a professor in Academy of Mathematics and Systems Science, CAS. His research interests include nonlinear dynamics and control, multi-agent systems, distributed optimization, and reliability of software and communication systems.

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Wang, X., Yi, P. & Hong, Y. Dynamic optimization for multi-agent systems with external disturbances. Control Theory Technol. 12, 132–138 (2014). https://doi.org/10.1007/s11768-014-0036-y

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  • DOI: https://doi.org/10.1007/s11768-014-0036-y

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