The synchronization of instantaneously coupled harmonic oscillators using sampled data with measurement noise. (April 2016)

• Record Type: Journal Article
• Authors: Wang, Jingyi; Feng, Jianwen; Xu, Chen; Chen, Michael Z.Q.; Zhao, Yi; Feng, Jiqiang
• Is Part Of: Automatica. Volume 66(2016)
• Page Start: 155
• Page End: 162
• Publication Date: 2016-04
• Subjects: Synchronization -- Coupled harmonic oscillators -- Instantaneous interactions -- Sampled data -- Measurement noise; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.01.012
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this brief, we propose an effective algorithm for synchronization of instantaneously coupled harmonic oscillators by using sampled data which may contain measurement noise. We discuss the convergence of this algorithm for both fixed and switching directed network topologies in the presence or absence of leaders. We also establish sufficient conditions under which the coupled harmonic oscillators could attain synchronized oscillatory motions in the presence of noise. And moreover, it is shown that synchronization can be attained even when the velocity information is exchanged only at discrete-time instants. Finally, we give some numerical examples to illustrate the effectiveness of the theoretical results.