This study addresses the consensus problem of leader-following multiagent systems, whose dynamics are governed by time-delay linear parameter-varying models with norm-bounded uncertainties. At first, a delay-dependent sufficient condition concerned with the existence of a parameter-varying sliding surface is given in terms of linear matrix inequalities. Then, a robust consensus among the leader and followers is achieved via the distributed linear parameter-varying sliding mode control protocol. Conditions for closed-loop stability are also presented in the form of some theorems. Simulation results demonstrate the effectiveness of the proposed approach.

中文翻译：

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不确定时滞线性参数变化多智能体系统的分布式滑模前导跟随共识控制器

这项研究解决了跟随领导者的多主体系统的共识问题，该系统的动力学受具有范数有界不确定性的时滞线性参数变化模型控制。首先，根据线性矩阵不等式给出了一个与时变有关的充分条件，该条件与参数变化的滑动表面的存在有关。然后，通过分布式线性参数变化滑模控制协议，在领导者和跟随者之间达成了稳健的共识。闭环稳定性的条件也以一些定理的形式给出。仿真结果证明了该方法的有效性。