Abstract and Applied Analysis (Jan 2013)

Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems

  • Fangzheng Gao,
  • Fushun Yuan,
  • Jian Zhang,
  • Yuqiang Wu

DOI
https://doi.org/10.1155/2013/439482
Journal volume & issue
Vol. 2013

Abstract

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This paper further investigates the problem of finite-time state feedback stabilization for a class of stochastic nonholonomic systems in chained form. Compared with the existing literature, the stochastic nonholonomic systems under investigation have more uncertainties, such as the x0-subsystem contains stochastic disturbance. This renders the existing finite-time control methods highly difficult to the control problem of the systems or even inapplicable. In this paper, by extending adding a power integrator design method to a stochastic system and by skillfully constructing C2 Lyapunov function, a novel switching control strategy is proposed, which renders that the states of closed-loop system are almost surely regulated to zero in a finite time. A simulation example is provided to demonstrate the effectiveness of the theoretical results.