Consensus With Persistently Exciting Couplings and Its Application to Vision-Based Estimation

IEEE Trans Cybern. 2021 May;51(5):2801-2812. doi: 10.1109/TCYB.2019.2918796. Epub 2021 Apr 15.

Abstract

The problem of consensus in networked agent systems is revisited and applied to vision-based localization. A class of new consensus dynamics is introduced first, and sufficient conditions including the persistence of excitation on the coupling matrix for reaching consensus are derived. As an application of the proposed consensus dynamics, an adaptive localization algorithm then is proposed for autonomous robots equipped with primarily visual sensors in GPS-denied environments. In the context of consensus over an undirected tree topology, the convergence of the proposed localization algorithm is proved. Finally, both numerical simulations and physical experiments are presented to show the effectiveness of the proposed localization algorithm. Our algorithm is simpler to implement and computationally cheaper compared to other localization methods. Moreover, it is immune to error accumulation and long-term stable, and the asymptotical convergence of the estimation errors can be theoretically guaranteed.