Fixed-Time Leader-Following Consensus for Multiple Wheeled Mobile Robots

作者：Boda Ning, Qing‐Long Han, Qiang Lu · 发表于：IEEE Transactions on Cybernetics · 年份：2019 · DOI：10.1109/tcyb.2019.2955543 · 被引用次数：146 · 研究领域：Distributed Control Multi-Agent Systems、Adaptive Control of Nonlinear Systems、Mobile Ad Hoc Networks

This article deals with the problem of leader-following consensus for multiple wheeled mobile robots. Under a directed graph, a distributed observer is proposed for each follower to estimate the leader state in a fixed time. Based on the observer and a constructed nonlinear manifold, a novel protocol is designed such that the estimated leader state is tracked in a fixed time. Moreover, a switching protocol together with a linear manifold is proposed to ensure that fixed-time leader-following consensus is realized for any initial conditions without causing singularity issues. In contrast to alternative fixed-time consensus protocols in some existing results, the protocol proposed in this article is designed by constructing the nonlinear or linear manifold, which builds a new framework for fixed-time leader-following consensus. Furthermore, the obtained upper bound of settling time is explicitly linked with a single parameter in the protocol, which facilitates the adjustment of the bound under different performance requirements. Finally, the proposed protocol is applied to formation control of wheeled mobile robots.