一类连续非线性系统的有限时间镇定问题

Finite Time Stabilization of a Class of ContinuousNonlinear Systems

讨论了一类连续非光滑非线性系统的全局有限时间状态反馈镇定问题。利用有限时间Lyapunov稳定定理和加幂积分器的方法证明了这类系统在连续的状态反馈控制下是全局有限时间状态反馈镇定的,并给出了状态反馈控制器的设计方法。

The finite time stabilization problem of a class of continuous nonlinear systems is discussed.Using adding a power integrator technique, a nonsmooth state feedback controller is explicitly constructed to render the systems globally finite time stable.