Fixed-Time Consensus Tracking for Nonlinear Second-Order Multi-Agent Systems with Communication Delays

Le résumé fourni par la source

This study proposes a novel fixed-time tracking control methodology tailored for second-order multi-agent systems (MASs) operating over directed communication networks and experiencing communication delays. Recent studies have explored fixed-time consensus in MASs with nonlinear dynamics and communication delays. The control design employs a Lyapunov–Krasovskii (L-K) functional framework, integrating Hölder's inequality and a Lipschitz-like condition to ensure system stability. Notably, this approach eliminates the dependence on Linear Matrix Inequalities (LMIs), which are prevalent in traditional control strategies but often lead to increased computational complexity. By circumventing LMIs, the proposed method enhances computational efficiency, making it suitable for largescale MAS applications. The control protocol guarantees that all agents achieve consensus tracking of the leader's trajectory within a predetermined fixed time, regardless of initial conditions. Theoretical analyses are substantiated through numerical simulations, demonstrating the effectiveness and robustness of the proposed scheme in achieving rapid convergence and maintaining stability in the presence of communication delays.

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