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Distributed Average Tracking in Multi-agent Systems pp 61–75Cite as

Distributed Average Tracking via an Extended PI Scheme

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Abstract

The aim of this chapter is to provide a systematic understanding of the distributed average tracking algorithm design under an extended proportional–integral (PI) framework (The results of this chapter are mainly based on [7]. Section 4.2 is newly added. Additionally, we have added the proof for Theorem 4.2, which was not included in [7] due to space limitation, and we have added a simulation section. See full copyright acknowledgement for non-original material at the end of the chapter). Three different kinds of references are considered: references with steady states, references with bounded derivatives, and references with a common derivative. Compared with the nonsmooth algorithm investigated in the last chapter, the algorithms proposed in this chapter are all smooth; thus overcoming certain undesirable features of nonsmooth algorithms, such as the chattering effect.

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Notes

  1. 1.

    The results of this chapter are mainly based on [7]. Section 4.2 is newly added. Additionally, we have added the proof for Theorem 4.2, which was not included in [7] due to space limitation, and we have added a simulation section. See full copyright acknowledgement for non-original material at the end of the chapter.

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Acknowledgements

©2015 IEEE. Reprinted, with permission, from Fei Chen, Gang Feng, Lu Liu, and Wei Ren. “Distributed average tracking of networked Euler-Lagrange systems.” IEEE Transactions on Automatic Control, vol. 60, no. 2, pp. 547–552, 2015.

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Authors and Affiliations

  1. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110004, China

    Fei Chen

  2. School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, China

    Fei Chen

  3. Department of Electrical and Computer Engineering, University of California at Riverside, Riverside, CA, USA

    Wei Ren

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  1. Fei Chen
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  2. Wei Ren
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Correspondence to Fei Chen .

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Chen, F., Ren, W. (2020). Distributed Average Tracking via an Extended PI Scheme. In: Distributed Average Tracking in Multi-agent Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-39536-0_4

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