Distributed Tracking in Heterogeneous Networks with Asynchronous Sampled-Data Control
Date of Original Version
This article investigates distributed coordinated tracking problems of networked heterogeneous systems. Based on asynchronous sampling information, distributed sampled-data protocols are employed to realize leader-following synchronization and containment tracking in networked heterogeneous systems. In asynchronous sampled-data protocols, each node has different sampling instants with other nodes and only samples itself information at its own sampling instants. By utilizing the input-delay approach and Lyapunove-Krasovskii functional approach, some sufficient conditions for guaranteeing the coordinated tracking are presented. First, quasi-synchronization criteria are obtained for networked heterogeneous oscillator systems with a dynamic leader over the directed graph. Second, in the presence of multiple heterogeneous leaders for networked heterogeneous systems, sufficient conditions of quasi-containment tracking are derived. In a word, all followers can converge into a bounded level of convex hull spanned by the leader(s). The upper bounds of tracking errors are estimated for both quasi-synchronization and quasi-containment tracking. Finally, two numerical examples are given to verify the theoretical results.
IEEE Transactions on Industrial Informatics
Wang, Zhengxin, Haibo He, Guo Ping Jiang, and Jinde Cao. "Distributed Tracking in Heterogeneous Networks with Asynchronous Sampled-Data Control." IEEE Transactions on Industrial Informatics 16, 12 (2020): 7381-7391. doi:10.1109/TII.2019.2958652.