Faster convergence is always sought in many applications. Designing fixed-time control has recently gained much attention since, for this type of control structure, the convergence time of the states does not depend on initial conditions, unlike other control methods providing faster convergence. This paper proposes a new distributed algorithm for second-order consensus in multiagent systems by using a full-order fixed-time convergent sliding surface. The stability analysis is performed using the Lyapunov function and bi-homogenous property. Moreover, the proposed control is smooth and free from any singularity. The robustness of the proposed scheme is verified both in the presence of Lipschitz disturbances and uncertainties in the network. The proposed method is compared with a state-of-the-art method to show the effectiveness.

中文翻译：

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在多智能体系统中使用固定时间收敛滑动面的鲁棒二阶共识


在许多应用中始终寻求更快的收敛。设计固定时间控制最近引起了广泛关注，因为对于这种类型的控制结构，状态的收敛时间不依赖于初始条件，这与提供更快收敛的其他控制方法不同。本文提出了一种利用全阶固定时间收敛滑动面在多智能体系统中实现二阶一致性的新分布式算法。使用 Lyapunov 函数和双齐性性质进行稳定性分析。此外，所提出的控制是平滑的并且没有任何奇异性。该方案的鲁棒性在存在 Lipschitz 扰动和网络不确定性的情况下得到了验证。将所提出的方法与最先进的方法进行比较以显示其有效性。