2504000258
  • Open Access
  • Article
Singularity-Free Prescribed-Time Distributed Resource Allocation Based on Time Space Deformation
  • Shuaiyu Zhou 1,   
  • Peng Yi 2,   
  • Shaofu Yang 3,   
  • Yiheng Wei 1, *

Received: 11 Feb 2025 | Revised: 22 Mar 2025 | Accepted: 25 Mar 2025 | Published: 27 Mar 2025

Abstract

This paper proposes a novel singularity-free prescribed-time distributed resource allocation algorithm. By scaling fixed-time systems using the time space deformation method, the proposed algorithm avoids the singularity problem caused by time-varying high-gain functions. To make the algorithm applicable to second-order multi-agent systems, a singularity-free prescribed-time signal tracking controller is also proposed. Finally, the performance of the proposed algorithm is verified through a power allocation task based on actual wind farm data.

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How to Cite
Zhou, S.; Yi, P.; Yang, S.; Wei, Y. Singularity-Free Prescribed-Time Distributed Resource Allocation Based on Time Space Deformation. Applied Mathematics and Statistics 2025, 2 (1), 1. https://doi.org/10.53941/ams.2025.100001.
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