The synchronization of instantaneously coupled harmonic oscillators using sampled data with measurement noise

• Jingyi Wang ^[1] ; Jianwen Feng ^[1] ; Chen Xu ^[1] ; Michael Z.Q. Chen ^[2]
  1. [1] Shenzhen University

     Shenzhen University

     China

     
  2. [2] University of Hong Kong

     University of Hong Kong

     RAE de Hong Kong (China)

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 66, 2016, págs. 155-162
• Idioma: inglés
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• Resumen

  • 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.