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Volume 8 Issue 6
Jun.  2021

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2021  >  8(6): 1133-1140
Q. L. Wang, C. Y. Sun, "Distributed Asymptotic Consensus in Directed Networks of Nonaffine Systems With Nonvanishing Disturbance," IEEE/CAA J. Autom. Sinica, vol. 8, no. 6, pp. 1133-1140, Jun. 2021. doi: 10.1109/JAS.2021.1004021
Citation: Q. L. Wang, C. Y. Sun, "Distributed Asymptotic Consensus in Directed Networks of Nonaffine Systems With Nonvanishing Disturbance," IEEE/CAA J. Autom. Sinica, vol. 8, no. 6, pp. 1133-1140, Jun. 2021. doi: 10.1109/JAS.2021.1004021
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Distributed Asymptotic Consensus in Directed Networks of Nonaffine Systems With Nonvanishing Disturbance

doi: 10.1109/JAS.2021.1004021
  • 1.

    School of Automation, Southeast University, Nanjing 210096, China

  • 2.

    Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing 210096, China

Funds:  This work was supported in part by the National Natural Science Foundation of China (61973074, 61921004, U1713209)
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    Abstract
  • In this paper the distributed asymptotic consensus problem is addressed for a group of high-order nonaffine agents with uncertain dynamics, nonvanishing disturbances and unknown control directions under directed networks. A class of auxiliary variables are first introduced which forms second-order filters and induces all measurable signals of agents’ states. In view of this property, a distributed robust integral of the sign of the error (DRISE) design combined with the Nussbaum-type function is presented that guarantees not only the desired asymptotic consensus, but also the uniform boundedness of all closed-loop variables. Compared with the traditional sliding mode control (SMC) technique, the main feature of our approach is that the integral operation in the proposed control algorithm is designed to be adopted in a continuous manner and ensures less chattering behavior. Simulation results for a group of Duffing-Holmes chaotic systems are employed to verify our theoretical analysis.

     

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    Highlights

    • This is the first work to consider the leaderless consensus problem of high-order nonaffine agents with uncertain dynamics, nonvanishing disturbance, and unknown control directions, in contrast to existing results for consensus of nonaffine agents.
    • A new DRISE design combined with the Nussbaum-type function is first proposed to guarantee not only the desired asymptotic consensus, but also the uniform boundedness of all closed-loop variables.
    • Different from existing results on consensus of agents with nonvanishing disturbance, in this work the integral operation in the proposed control algorithm is adopted to incorporate in a continuous manner and ensure less chattering behavior.

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