Global finite-time stabilisation for a class of nonlinear systems

Abstract

Finite-time stability is investigated for a class of nonlinear systems and a new design is presented for globally finite-time stabilising feedback, extending the results obtained in Huang, Lin, and Yang (2005) [‘Global Finite-time Stabilization of a Class of Uncertain Nonlinear Systems’, Automatica, 41, 881–888]. The new method may achieve accelerated convergence speed and reduced settling time. An example verifies the feasibility and effectiveness of the proposed design.

Keywords:

• finite-time stable
• Hölder continuous
• state feedback
• uncertain nonlinear system

Acknowledgements

This work was supported by the National Science Foundation of China (No. 50779029), the National Science Foundation of Hubei Province (2008CDZ046, 2008CDZ047), the Scientific Innovation Team Project of Hubei Provincial Department of Education (T200809) and the Science Foundation of the Education Commission of Hubei Province (D20091305).