JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2009, Vol. 39 ›› Issue (3): 37-46.

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Finite-time stabilization for a class of first-order nonlinear systems with unknown control direction

  

  1. School of Control Science and Engineering, Shandong University, Jinan 250061,  China
  • Received:2009-05-04 Online:2009-06-16 Published:2009-06-16
  • About author:LIU Yungang(1970-), male, professor, born in Shandong Boxing, his research interest covers nonlinear systems and adaptive control, nonlinear observer design and stochastic control systems theory. E-mail: lygfr@sdu.edu.cn
  • Supported by:

    This work was supported in part by the National Natural Science Foundation of China under grant 60674036

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Abstract:

In this paper, the finite time stabilization via state-feedback and adaptive technique was investigated for a class of first-order nonlinear systems with unknown control direction. Using the Nussbaum gain method, an adaptive state-feedback controller is successfully constructed, which guarantees the global stability of the closed-loop system, and the global finite time stability of the original system state (This was rigorously proven with the help of the celebrated L'Hospital’s Rule). A simulation example was provided to illustrate the effectiveness of the proposed approach.

Key words: nonlinear systems; unknown control direction; adaptive control; Nussbaum gain; finite time stability; global stability

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