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Semi-global Consensus of Multi-agent Systems with Impulsive Approach

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Handbook of Real-Time Computing

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Abstract

Consensus analysis is a basic issue of multi-agent systems. As an important topic of this issue, semi-global consensus problems have aroused interests since the capability of actuator is usually limited in the presence of a finite range in practice. In theory, semi-global consensus problems refer to design a one-parameter family of control protocols whose domain of attraction can tend to the entire state space. To deal with these problems, the low-gain feedback control strategy has been recently extended. The presented chapter offers a short survey of current studies on this topic, and then we develop the basic idea of low-gain feedback control strategy to apply a distributed impulsive strategy. Similarly with the low-gain feedback control, the magnitude of the proposed impulsive protocol can converge to zero as the low-gain parameter tends to zero. By utilizing the Lyapunov function and low-gain theory, a parametric discrete-time Riccati equation is developed for calculating control gain matrix. Then, based on low-and-high-gain feedback control, another distributed impulsive strategy is considered such that this control protocol can be limited in a finite range. Furthermore, two algorithms are proposed to solve the corresponding the control gain matrices. Subsequently, future research topics are discussed.

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Author information

Authors and Affiliations

  1. School of Automation, Xi-an University of Posts & Telecommunications, Xi-an, China

    Zhen Li & Wenqing Wang

  2. School of Information Science and Technology, Donghua University, Shanghai, China

    Jian-an Fang

  3. The Science Program, Texas A&M University, Doha, Qatar

    Tingwen Huang

  4. Department of Mathematics, Yangzhou University, Jiangsu, China

    Wenbing Zhang

Authors
  1. Zhen Li
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  2. Jian-an Fang
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  3. Tingwen Huang
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  4. Wenqing Wang
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  5. Wenbing Zhang
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Corresponding author

Correspondence to Zhen Li .

Editor information

Editors and Affiliations

  1. School of Electrical Engineering and Computer Science, Queensland University of Technology, Brisbane, QLD, Australia

    Yu-Chu Tian

  2. School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia

    David Charles Levy

Section Editor information

  1. Department of Automation, East China University of Science and Technology, Office: Room 904, Graduate Building, No. 130 Meilong Road, 200237, Shanghai, China

    Yang Tang

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Li, Z., Fang, Ja., Huang, T., Wang, W., Zhang, W. (2019). Semi-global Consensus of Multi-agent Systems with Impulsive Approach. In: Tian, YC., Levy, D. (eds) Handbook of Real-Time Computing. Springer, Singapore. https://doi.org/10.1007/978-981-4585-87-3_31-1

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  • DOI: https://doi.org/10.1007/978-981-4585-87-3_31-1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-4585-87-3

  • Online ISBN: 978-981-4585-87-3

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