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Further Result on Finite‐Time Stabilization of Stochastic Nonholonomic Systems

Author

Listed:
  • Fangzheng Gao
  • Fushun Yuan
  • Jian Zhang
  • Yuqiang Wu

Abstract

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.

Suggested Citation

  • Fangzheng Gao & Fushun Yuan & Jian Zhang & Yuqiang Wu, 2013. "Further Result on Finite‐Time Stabilization of Stochastic Nonholonomic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:439482
    DOI: 10.1155/2013/439482
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    References listed on IDEAS

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    1. Fangzheng Gao & Fushun Yuan, 2012. "Finite-Time Stabilization of Stochastic Nonholonomic Systems and Its Application to Mobile Robot," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, October.
    2. Fangzheng Gao & Fushun Yuan, 2012. "Finite‐Time Stabilization of Stochastic Nonholonomic Systems and Its Application to Mobile Robot," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Yuanyuan Wu & Zicheng Wang & Yuqiang Wu & Qingbo Li, 2014. "Output Feedback Adaptive Stabilization of Uncertain Nonholonomic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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