This paper investigates the adaptive fixed-time consensus of a class of multi-agent systems with discontinuous dynamics. First, under the framework of Filippov solutions, a new theorem is established to achieve fixed-time consensus of discontinuous multi-agent systems using the proposed control protocol. Furthermore, an adaptive control protocol is provided in the second theorem that highly improves the control signals of the system. Finally, numerical simulations are worked out to illustrate the effectiveness of our theoretical results.

中文翻译：

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具有不连续动态的多智能体系统的固定时间领导者跟随共识的自适应控制器设计

本文研究了一类具有不连续动态的多智能体系统的自适应固定时间共识。首先，在 Filippov 解决方案的框架下，建立了一个新的定理，使用所提出的控制协议来实现不连续多智能体系统的固定时间共识。此外，在第二定理中提供了自适应控制协议，极大地改善了系统的控制信号。最后，通过数值模拟来说明我们理论结果的有效性。