一类不确定高阶非线性系统的有限时间镇定

Finite-time stabilization of a class of uncertain high-order nonlinear systems

研究一类具有未知虚拟控制系数的不确定高阶非线性系统的有限时间镇定问题.基于有限时间稳定的Lyapunov理论和"加幂积分器"技术,显式设计非李普希兹状态反馈控制律,使闭环系统的所有状态全局有限时间收敛到零点.仿真例子验证了论文的主要结论.

In this paper, the problem of global finite-time stabilization was investigated for a class of uncertain high-order nonlinear systems with unknown virtual control coefficients. By using finite-time Lyapunov stability theorem and adding a power integrator technique, a non-Lipchitz continuous state feedback control law was explicitly constructed. The states of close system were regulated to zero in a finite time. And a simulation example was provided to illustrate the effectiveness of the proposed method.