Global finite-time stabilization design for a class of high-order uncertain nonlinear systems

作者：Meng Gui Zhi^*; Ma Ke Mao; Zhang Jia Wei

来源：Journal of Harbin Institute of Technology, 2012, 19(3): 77-80.

• Continuous state
• Feedback designs
• Finite time stability
• Finite time stabilization
• High-order
• High-order nonlinear system
• Lyapunov stability theorem
• Non-smooth
• Recursive design procedure
• Theoretical result
• Uncertain nonlinear systems

The problem of finite-time stabilization for uncertain nonlinear systems is investigated. It is proved that a class of high-order nonlinear systems in the lower-triangular form is globally stabilized via non-Lipschitz continuous state feedback. By using the finite-time Lyapunov stability theorem and the method of non-smooth feedback design, a recursive design procedure is provided, which guarantees the finite-time stability of the closed-loop system. The simulation results show the effectiveness of the theoretical results.

• 出版日期2012