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Fast Finite-Time Adaptive Consensus with Prescribed Performance Tracking Control for High-Power Nonlinear MASs

  • Xiao Zheng 1,   
  • Yuanzhao Chen 1,   
  • Xiaomei Wang 2, *,   
  • Xiaoqing Zhang 1,   
  • Yi Niu 1, *

Received: 23 Jul 2025 | Revised: 19 Aug 2025 | Accepted: 01 Sep 2025 | Published: 17 Sep 2025

Abstract

This paper addresses the challenge of achieving fast finite-time adaptive consensus tracking control and prescribed performance control for a category of high-power uncertain nonlinear multi-agent systems (MASs) under external signal disturbances. First, a new error coordinate transformation scheme is devised to effec- tively decouple local and neighbor information. Second, by ensuring that all signals in the closed-loop system remain bounded, the controller is equipped with sufficient capability to compensate for the system’s unknowns, external disturbance signals, and parameter uncertainties, thereby achieving consensus tracking performance. In comparison to traditional tracking control strategies, the proposed control method guarantees that the output of the MASs asymptotically converges to zero. Third, to meet the performance requirements of MASs, a prescribed performance function is designed to constrain the errors in the finite-time control framework, thereby en- hancing both the transient and steady-state performance of the system. The proposed control mechanism guarantees that the MASs meet the performance requirements within a finite time. Finally, simulation results demonstrate the effectiveness of the proposed control mechanism.

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Zheng, X.; Chen, Y.; Wang, X.; Zhang, X.; Niu, Y. Fast Finite-Time Adaptive Consensus with Prescribed Performance Tracking Control for High-Power Nonlinear MASs. Intelligence & Control 2025, 1 (1), 4.
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