Distributed containment tracking of multiple stochastic nonlinear systems

• Wuquan Li ^[1] ; Lu Liu ^[2] ; Gang Feng ^[2]
  1. [1] Ludong University

     Ludong 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. 69, 2016, págs. 214-221
• Idioma: inglés
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• Resumen

  • This paper investigates distributed containment tracking for multiple stochastic nonlinear systems with multiple dynamic leaders under directed network topology. The control input of each agent can only use its local state and the states of its neighbors. With the backstepping design method, distributed tracking controllers are designed. By using stochastic analysis and graph theory, it is shown that the followers’ outputs will exponentially converge to the convex hull spanned by the dynamic leaders’s outputs with tunable tracking errors while all the states of the closed-loop system remain bounded in probability. A numerical example is provided to illustrate the effectiveness of the theoretical results.