This paper concerns the predefined-time bipartite consensus control for uncertain nonlinear multiagent systems under a signed directed topology. All agents have high-order uncertain nonlinear dynamic characteristics satisfying a time-varying Lipschitz growth condition, and their partial state information is not available for measurement. In this case, we put forward a novel output-feedback-based predefined-time leader-following bipartite consensus control strategy. A predefined-time compensator for each follower is firstly constructed with a time-varying gain by utilizing its relative output information. Then, a novel linear-like output feedback predefined-time distributed control protocol is developed for each follower by means of the compensator. By making two artful state transitions, the bipartite consensus problem is reduced to a stabilization one of nonlinear systems. By means of the Lyapunov stability theorem, we strictly prove that the designed controllers can ensure that all agents realize bipartite consensus in predefined time. Finally, two simulation examples are given to validate the viability of the developed theoretical algorithm.

中文翻译：

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高阶非线性多智能体系统的输出反馈预定义时间二部共识控制

本文涉及带符号有向拓扑下不确定非线性多智能体系统的预定义时间二分一致控制。所有代理都具有满足时变 Lipschitz 增长条件的高阶不确定非线性动态特性，并且它们的部分状态信息不可用于测量。在这种情况下，我们提出了一种新颖的基于输出反馈的预定义时间领导者跟随二方共识控制策略。每个跟随器的预定义时间补偿器首先利用其相关输出信息构造具有时变增益的补偿器。然后，通过补偿器为每个跟随器开发了一种新颖的类线性输出反馈预定义时间分布式控制协议。通过两个巧妙的状态转换，将二部共识问题简化为非线性系统的稳定问题。通过李雅普诺夫稳定性定理，我们严格证明所设计的控制器可以确保所有代理在预定义的时间内实现双向共识。最后，给出了两个仿真例子来验证所开发的理论算法的可行性。