Finite time stabilization of nonlinear affine systems application to robot manipulator

In this paper finite-time stabilization of nonlinear affine systems, is considered. We give a formula for a finite time stabilizing state feedback control law. Then the proposed method is applied to a robot manipulator system.

[1]  Francesco Amato,et al.  Application of Finite-Time Stability Concepts to the Control of ATM Networks , 2012 .

[2]  Germain Garcia,et al.  Finite-time stabilization of nonlinear affine systems , 2010 .

[3]  Carlos Canudas de Wit,et al.  Dynamic Model Simplification of Industrial Robot Manipulators , 1991 .

[4]  Carlo Cosentino,et al.  Finite-time stabilization via dynamic output feedback, , 2006, Autom..

[5]  W. Perruquetti,et al.  Lyapunov-based approach for finite time stability and stabilization , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[6]  Sophie Tarbouriech,et al.  Finite-Time Stabilization of Linear Time-Varying Continuous Systems , 2009, IEEE Transactions on Automatic Control.

[7]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[8]  Eduardo Sontag A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[9]  Germain Garcia,et al.  Finite-time stabilization of non affine systems a constructive method for polynomial systems , 2010, 2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP).

[10]  Carlos Canudas de Wit,et al.  Theory of Robot Control , 1996 .

[11]  T. C. Kuo,et al.  Global Stabilization of Robot Control with Neural Network and Sliding Mode , 2008, Eng. Lett..

[12]  Peter Dorato,et al.  An Overview of Finite-Time Stability , 2006 .

[13]  P. Dorato,et al.  Finite time stability under perturbing forces and on product spaces , 1967, IEEE Transactions on Automatic Control.

[14]  Francesco Amato,et al.  Necessary and sufficient conditions for finite-time stability of linear systems , 2003, Proceedings of the 2003 American Control Conference, 2003..

[15]  Wilfrid Perruquetti,et al.  On practical stability with the settling time via vector norms , 1995 .

[16]  Germain Garcia,et al.  Practical stability and stabilization of linear systems , 2009, 2009 17th Mediterranean Conference on Control and Automation.