Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering

Jianhua Zhang (), Xuan Yu, Quanmin Zhu and Zhanyang Yu
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Jianhua Zhang: School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266525, China
Xuan Yu: School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266525, China
Quanmin Zhu: School of Engineering, University of the West of England, Coldharbour Lane, Bristol BS16 1QY, UK
Zhanyang Yu: School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266525, China

Mathematics, 2025, vol. 13, issue 13, 1-22

Abstract: This paper resolves the predefined-time control problem for multi-agent systems under predefined performance metrics and state constraints, addressing critical limitations of traditional methods—notably their inability to enforce strict user-specified deadlines for mission-critical operations, coupled with difficulties in simultaneously guaranteeing transient performance bounds and state constraints while suffering prohibitive stability proof complexity. To overcome these challenges, we propose a predefined performance control methodology that integrates Barrier Lyapunov Functions command-filtered backstepping. The framework rigorously ensures exact convergence within user-defined time independent of initial conditions while enforcing strict state constraints through time-varying BLF boundaries and further delivers quantifiable performance such as overshoot below 5% and convergence within 10 s. By eliminating high-order derivative continuity proofs via command-filter design, stability analysis complexity is reduced by 40% versus conventional backstepping. Stability proofs and dual-case simulations (UAV formation/smart grid) demonstrate over 95% tracking accuracy under disturbances and constraints, validating broad applicability in safety-critical multi-agent systems.

Keywords: command filter; predefined-time control; state constraints; Barrier Lyapunov Function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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