Adaptive finite-time control of nonlinear systems

Global adaptive finite-time control problems for two special classes of nonlinear control systems with parametric uncertainties are considered. A simple design approach is given based on Lyapunov function and homogeneity. The feedback laws can be constructed in the form with fractional powers as shown in the design examples.

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

[2]  L. Rosier.  Homogeneous Lyapunov function for homogeneous continuous vector field , 1992 .

[3]  S. Bhat,et al.  Lyapunov analysis of finite-time differential equations , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[4]  Xinghuo Yu,et al.  Model reference adaptive control systems with terminal sliding modes , 1996 .

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

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

[7]  Xinghuo Yu,et al.  Terminal sliding mode control design for uncertain dynamic systems , 1998 .

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

[9]  Guowu Yang,et al.  Global finite-time stabilization: from state feedback to output feedback , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

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