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Output Regulation of Linear Singular Multi-Agent Systems

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Abstract

This paper considers the output regulation problem of linear singular multi-agent systems by using both state feedback control and time-delay feedback control. Sufficient conditions for the output regulation problem of singular multi-agent systems are proposed by adopting restricted system equivalence properties under the state feedback control strategy. A reduced-order normal system is obtained by a standard coordinate transformation. It is shown that state feedback control can solve the output regulation problem of the reduced-order normal systems and the original singular multi-agent systems. Numerical examples are presented to illustrate the effectiveness of the proposed method.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61374083 and 61203025), the China National Funds for Distinguished Young Scientists (Grant No. 61425009), the Zhejiang Provincial Science and Technology Department Project(Grant No. 2014C31082), and the 521 Talent Project of Zhejiang Sci-Tech University.

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Authors and Affiliations

  1. Institute of Automation, Zhejiang Sci-Tech University, Hangzhou, 310018, People’s Republic of China

    Jinfeng Gao & Yong Xu

  2. Guangdong University of Technology, Guangzhou, 510006, People’s Republic of China

    Renquan Lu

Authors
  1. Jinfeng Gao
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  2. Yong Xu
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  3. Renquan Lu
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Correspondence to Jinfeng Gao.

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Gao, J., Xu, Y. & Lu, R. Output Regulation of Linear Singular Multi-Agent Systems. Circuits Syst Signal Process 36, 931–946 (2017). https://doi.org/10.1007/s00034-016-0343-2

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