一类非线性系统有限时间稳定控制的新方法

A new approach for finite-time stabilization for a class of nonlinear systems

给出了非线性系统有限时间稳定的一个充分条件。研究了一类非线性系统全局有限时间稳定控制问题,所设计的状态反馈控制器是连续非光滑的。与现有结果相比,具有加快收敛速度,降低设定时间等优点。

Finite-time stability is investigated for a class of nonlinear systems, and a sufficient condition for globally finite-time stability is obtained. Globally finite-time stabilizability is achieved by designing a continuous and non-smooth state feedback non-linear system. Compared with previous results, the new method may accelerate convergent speed and decrease the settling time.