Lu Maobin, Liu Lu
IEEE Trans Cybern. 2022 Jul;52(7):6834-6842. doi: 10.1109/TCYB.2020.3031009. Epub 2022 Jul 4.
In this article, we address the synchronization problem of networked uncertain Euler-Lagrange systems subject to disturbances, network delays, and uniformly connected switching networks. Compared with existing works, the current problem setting is more practical and technically more challenging. First, to tackle the disturbances under switching networks, we establish one lemma to show the convergence of a piecewise continuous function. Then, we establish the input-to-state stability (ISS) property of a class of perturbed time-delay systems to enable the distributed estimation of the system matrix and the output matrix of the leader system through delayed and switched network communication. Based on the certainty equivalence principle, we design an adaptive distributed control law. The synchronization control of four three-link cylindrical arms is used to demonstrate the effectiveness of the proposed approach.
在本文中,我们研究了受干扰、网络延迟和一致连通切换网络影响的网络化不确定欧拉-拉格朗日系统的同步问题。与现有工作相比,当前的问题设定更具实际意义且在技术上更具挑战性。首先,为解决切换网络下的干扰问题,我们建立了一个引理来证明分段连续函数的收敛性。然后,我们建立了一类受扰时滞系统的输入到状态稳定性(ISS)性质,以便通过延迟和切换网络通信对主系统的系统矩阵和输出矩阵进行分布式估计。基于确定性等价原理,我们设计了一种自适应分布式控制律。通过对四个三连杆圆柱臂的同步控制来验证所提方法的有效性。