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Distributed multi-step subgradient projection algorithm with adaptive event-triggering protocols: a framework of multiagent systems

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  • Wenjing An
  • Peifeng Zhao
  • Hongjian Liu
  • Jun Hu

Abstract

This paper discusses a convex optimisation problem with a common set of constraints in the framework of multi-agent systems. Each agent only exchanges information with its neighbours and collaboratively searches for the optimal solution of the global function. To this addressed problem, a distributed multi-step subgradient projection algorithm is developed, where an adaptive event-triggering protocol is designed to govern the information exchange. It is disclosed that the state of each agent representing the estimate of the optimal solution asymptotically converges to one of the optimal solutions under suitably chosen stepsizes and momentum parameters. Simulation results verify that the proposed algorithm has better convergence performance than the standard event-triggered subgradient projection algorithm. In addition, the communication frequency between agents can be effectively reduced to save communication resource consumption.

Suggested Citation

  • Wenjing An & Peifeng Zhao & Hongjian Liu & Jun Hu, 2022. "Distributed multi-step subgradient projection algorithm with adaptive event-triggering protocols: a framework of multiagent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(13), pages 2758-2772, October.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2758-2772
    DOI: 10.1080/00207721.2022.2063967
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    Cited by:

    1. Wang, Xi & Ju, Yamei & Ding, Derui & Liu, Hongjian, 2024. "Cooperative fault-tolerant tracking control for multi-agent systems: A multiple description encoding scheme," Applied Mathematics and Computation, Elsevier, vol. 462(C).

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