Zou Wencheng, Shi Peng, Xiang Zhengrong, Shi Yan
IEEE Trans Neural Netw Learn Syst. 2020 May;31(5):1757-1762. doi: 10.1109/TNNLS.2019.2920880. Epub 2019 Jun 27.
In this brief, the practical finite-time consensus (FTC) problem is investigated for the second-order heterogeneous switched nonlinear multi-agent systems (MASs), where the subsystems and the switching signal for each agent are different. Mainly due to that agents' dynamics are switched and the unknown nonlinearities in the systems are more general, the practical FTC problem of the MASs is rather difficult to be solved by existing methods. As such, a new protocol design framework for the FTC problem is developed. Then, a novel adaptive protocol is proposed for the switched nonlinear MASs based on the developed design framework and the neural network method. The sufficient conditions for the practical FTC of nonlinear MASs under arbitrary switching are given. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed control scheme.
在本简报中，研究了二阶异构切换非线性多智能体系统（MASs）的实际有限时间一致性（FTC）问题，其中各智能体的子系统和切换信号各不相同。主要由于智能体的动态特性是切换的，且系统中的未知非线性更为普遍，现有方法很难解决MASs的实际FTC问题。因此，针对FTC问题开发了一种新的协议设计框架。然后，基于所开发的设计框架和神经网络方法，为切换非线性MASs提出了一种新颖的自适应协议。给出了非线性MASs在任意切换下实现实际FTC的充分条件。最后，通过一个数值例子验证了所提控制方案的有效性。
