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Volume 49 Issue 11
Nov.  2023
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Journal of Beijing University of Aeronautics and Astronautics  > 2023  >  49(11): 2951-2959.
SHI X S，LIN Z Y. Fixed-time distributed convex algorithm over second-order multi-agent systems under bounded disturbances[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（11）：2951-2959 （in Chinese） doi: 10.13700/j.bh.1001-5965.2022.0060
Citation: SHI X S，LIN Z Y. Fixed-time distributed convex algorithm over second-order multi-agent systems under bounded disturbances[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（11）：2951-2959 （in Chinese） doi: 10.13700/j.bh.1001-5965.2022.0060
shu

Fixed-time distributed convex algorithm over second-order multi-agent systems under bounded disturbances

doi: 10.13700/j.bh.1001-5965.2022.0060
  • 1.

    School of Information and Control Engineering，China University of Mining and Technology，Xuzhou 221116，China

  • 2.

    Department of Electrical and Electronic Engineering，Southern University of Science and Technology，Shenzhen 518055，China

Funds:  Fundamental Research Funds for the Central Universities (2021QN1052)
More Information
  • Corresponding author: E-mail：linzy@sustech.edu.cn
  • Received Date: 29 Jan 2022
  • Accepted Date: 11 Mar 2022
  • Publish Date: 02 Apr 2022
    Abstract

  • In this paper, the convex optimization problem of the distributed second-order multi-agent systems under bounded disturbances has been studied. The distributed optimization problem aims to optimize the global cost function through local information communication. Based on the fixed-time theory, the proposed algorithm converges to the optimal solution within a fixed time. Additionally, the average consensus tracking technique obtains each agent's gradient information at a predetermined period when the second derivative difference of the cost function between surrounding agents is bounded in order to prevent the local information leakage of each agent. Then, an adaptive algorithm is provided to avoid the utilization of global information. Furthermore, the external bounded disturbance is adaptively suppressed by the signal function. Finally, the converge proof and some simulation examples are provided.

     

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