Finite-time and fixed-time consensus problems for second-order multi-agent systems with reduced state information

Abstract

This paper studies the fixed-time consensus (FixTC) and connectivity-preserving finite-time consensus (FinTC) protocol designs for second-order multi-agent systems using output information only. Herein, a distributed FixTC protocol based on the Lyapunov stability and bi-limit homogeneity approaches is proposed with the aid of an auxiliary system. Then, when the graph is state-dependent, i.e., the agents have limited sensing and communication ranges, a connectivity-preserving FinTC is proposed by designing a mechanism suitable for this purpose. Theoretical analysis and several simulations are presented to verify the effectiveness of the proposed protocols.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 61673107), National Ten Thousand Talent Program for Young Top-notch Talents (Grant No. W2070082), Cheung Kong Scholars Programme of China for Young Scholars (Grant No. Q2016109), Jiangsu Provincial Key Laboratory of Networked Collective Intelligence (Grant No. BM2017002), and Scientific Research Foundation of Graduate School of Southeast University (Grant No. YBJJ1718).

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Correspondence to Wenwu Yu.

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Hong, H., Wang, H., Wang, Z. et al. Finite-time and fixed-time consensus problems for second-order multi-agent systems with reduced state information. Sci. China Inf. Sci. 62, 212201 (2019). https://doi.org/10.1007/s11432-018-9846-y

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Keywords

  • MASs
  • finite-time consensus
  • fixed-time consensus
  • connectivity-preserving mechanism
  • reduced state information