Fixed-time and prescribed-time consensus control can bring an explicit estimate of the settling time without dependence on initial conditions, which is important in providing control engineers a priori system information. This article aims at presenting a survey of recent trends and methodologies of fixed-time and prescribed-time consensus control in multiagent systems. First, some typical fixed-time consensus results are reviewed. Despite the advantage in deriving a fixed settling time bound, fixed-time consensus controllers usually result in a conservative estimate of the bound and a large magnitude of initial control input, which in turn show the necessity of designing prescribed-time consensus controllers. Second, characteristics and controller design of (practical, respectively) prescribed-time consensus are provided in detail. Particularly, representative time-varying function-based controllers are presented, by which (practical, respectively) consensus can be achieved in prescribed time. Third, applications of fixed-time and prescribed-time consensus control in mobile robots and smart grids are illustrated in case studies. Finally, several challenging issues in prescribed-time consensus control are discussed for future research.

中文翻译：

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多智能体系统的固定时间和规定时间一致性控制及其应用：最新趋势和方法的调查


固定时间和规定时间一致控制可以在不依赖于初始条件的情况下带来稳定时间的明确估计，这对于为控制工程师提供先验系统信息非常重要。本文旨在对多智能体系统中固定时间和规定时间共识控制的最新趋势和方法进行调查。首先，回顾一些典型的固定时间共识结果。尽管在推导固定稳定时间界限方面具有优势，但固定时间一致控制器通常会导致对界限的保守估计和大量的初始控制输入，这反过来表明设计规定时间一致控制器的必要性。其次，详细提供了（分别是实际的）规定时间共识的特征和控制器设计。特别是，提出了具有代表性的时变基于函数的控制器，通过该控制器可以在规定的时间内达成（分别是实际的）共识。第三，通过案例说明了固定时间和规定时间共识控制在移动机器人和智能电网中的应用。最后，讨论了规定时间共识控制中的几个具有挑战性的问题以供未来研究。