Global finite-time stabilization of a class of nonsmooth nonlinear systems by output feedback

This paper studies the problem of global finite-time stabilization by output feedback for a class of nonsmooth nonlinear systems which can be viewed as the dual of the high-order systems considered in [C. Qian and W. Lin (2001)], [C. Qian and W. Lin (2004)]. By extending the adding a power integrator technique [C. Qian and W. Lin (2004)] and nonsmooth observer design in [C. Qian and J. Li (2004)], an output feedback controller is explicitly constructed to render the nonsmooth nonlinear systems globally finite-time stable. The novelty of the paper is the development of a recursive design procedure to construct the nonsmooth observer with rigorous gains.

[1]  C. Qian,et al.  Global finite-time stabilization of planar nonlinear systems by output feedback , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[2]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[3]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[4]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[5]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[6]  Jie Huang,et al.  On an output feedback finite-time stabilization problem , 2001, IEEE Trans. Autom. Control..

[7]  E. R. Rang,et al.  Isochrone families for second-order systems , 1963 .

[8]  V. Haimo.  Finite time controllers , 1986 .

[9]  Yiguang Hong,et al.  Finite-time stabilization and stabilizability of a class of controllable systems , 2002, Syst. Control. Lett..

[10]  Wei Lin,et al.  Recursive observer design and nonsmooth output feedback stabilization of inherently nonlinear systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).