IEEE Trans Cybern. 2017 Jun;47(6):1484-1495. doi: 10.1109/TCYB.2016.2549556. Epub 2016 Apr 20.
This paper proposes an adaptive explicit synchronization framework to address the cooperative control for heterogeneous uncertain dynamical networks under switching communication topologies. The main contribution is to develop an adaptive explicit synchronization algorithm, in which the synchronization state can be completely tracked by each agent in real time rather than only be measured after the synchronization process of all agents is over. By introducing appropriate assumptions, a class of adaptive explicit synchronization protocols is designed by using a combination of the virtual leader's states, the neighboring agents' relative information, distributed feedback gain, and distributed average weighted parameters. It is proved in the sense of Lyapunov that, if the dwell time is larger than a positive threshold, the cooperative control problem for the closed-loop heterogeneous uncertain dynamical networks under switching of strongly-connected communication topologies can be solved by the proposed adaptive explicit synchronization algorithm. Furthermore, by assuming that the topology is frequently strongly-connected, it shows that intermittent adaptive explicit synchronization can be achieved with well-designed control parameters. Two examples are presented to demonstrate the effectiveness of the proposed theory.
本文提出了一种自适应显式同步框架，以解决切换通信拓扑下异构不确定动力网络的协同控制问题。主要贡献在于开发了一种自适应显式同步算法，其中每个代理可以实时跟踪同步状态，而不仅仅是在所有代理的同步过程完成后进行测量。通过引入适当的假设，使用虚拟领导者状态、邻居代理相对信息、分布式反馈增益和分布式平均加权参数的组合，设计了一类自适应显式同步协议。通过 Lyapunov 意义上的证明，如果驻留时间大于正阈值，则可以通过所提出的自适应显式同步算法解决强连通通信拓扑下闭环异构不确定动力网络的协同控制问题。此外，通过假设拓扑频繁强连通，表明可以通过设计良好的控制参数实现间歇自适应显式同步。通过两个实例验证了所提出理论的有效性。
