Singularity-Free Prescribed-Time Distributed Resource Allocation Based on Time Space Deformation

Article Singularity-Free Prescribed-Time Distributed Resource Allocation Based on Time Space Deformation Shuaiyu Zhou 1 , Peng Yi 2 , Shaofu Yang 3 and Yiheng Wei 1,* 1 The School of Mathematics, Southeast University, Nanjing 211189, China2 The Department of Control Science & Engineering, Tongji University, Shanghai 200092, China3 The School of Computer Science and Engineering, Southeast University, Nanjing 211189, China* Correspondence: [email protected] Received: 11 February 2025; Revised: 22 March 2025; Accepted: 25 March 2025; Published: 27 March 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.