Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form

• Hui Wang ^[1] ; Quanxin Zhu ^[1]
  1. [1] Nanjing Normal University

     Nanjing Normal University

     China

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 54, 2015, págs. 284-291
• Idioma: inglés
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• Resumen

  • This paper deals with the problem of finite-time stabilization for a class of high-order stochastic nonlinear systems in strict-feedback form. By using Itô’s formula, mathematical induction and backstepping design method, a novel state-feedback controller is constructed to guarantee that the closed-loop high-order nonlinear system has a unique solution and the solution of the closed-loop high-order nonlinear system is finite-time stable. A systematic design algorithm is developed for the construction of the backstepping controller. Finally, the effectiveness of the state-feedback controller is illustrated by two examples.