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Predefined-time consensus using a time base generator (TBG)

机译：使用时基生成器（TBG）的预定义时间共识

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Predefined-time convergence means that a system is driven to the origin of its state space in a desired settling time that can be set as an explicit parameter of the controller and it is achieved independently of the initial conditions. In this paper, we propose distributed control protocols that enforce predefined-time convergence in the consensus problem for first order systems. The proposed control method is based on the so-called time base generator (TBGs), which are time-dependent functions used to build time-varying control laws. Our method can be applied to any first-order linearizable nonlinear system. In particular, a robust nonlinear control protocol is proposed to deal with perturbed systems. Stability of the closed-loop protocols is proved for connected undirected communication topologies of the network system and for directed topologies having a spanning tree. The performance of the proposed consensus protocols are evaluated and compared in simulation with finite and fixed-time controllers and other previous scheme that also reaches consensus at a preset time.
机译：预定义时间收敛是指系统在所需的稳定时间内被驱动到其状态空间的起点，该稳定时间可以设置为控制器的显式参数，并且可以独立于初始条件来实现。在本文中，我们提出了在一阶系统的共识问题中强制执行预定义时间收敛的分布式控制协议。所提出的控制方法基于所谓的时基生成器（TBG），它们是用于建立时变控制定律的时变函数。我们的方法可以应用于任何一阶线性化非线性系统。特别是，提出了一种鲁棒的非线性控制协议来处理扰动系统。对于网络系统的连接的无向通信拓扑以及具有生成树的有向拓扑，证明了闭环协议的稳定性。评估了所提出共识协议的性能，并在仿真中与有限和固定时间控制器以及其他在预设时间也达成共识的先前方案进行了比较。

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