Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties
Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties
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DOI：
10.1109/tac.2006.886515
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发表时间：
2006-12-01
影响因子：
6.8
通讯作者：
Jiang, Zhong-Ping
中科院分区：
文献类型：
--
作者：
Hong, Yiguang;Jiang, Zhong-Ping
本文研究了具有参数和动态不确定性的非线性系统的非光滑有限时间镇定问题。为了解决这个问题，输入状态稳定性的性质是用来描述不可测的动态不确定性。结合李雅普诺夫、反推和输入-状态稳定性技术，提出了一种具有建设性的部分状态控制器设计方法。在小增益型局部条件下，得到了一类不确定非线性系统的有限时间调节问题的解。
In this note, non-smooth finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties is investigated. To solve this problem, the input-to-state stability property is used to characterize unmeasured dynamic uncertainties. A constructive partial-state control design is proposed on the basis of involved combined use of Lyapunov, backstepping and input-to-state stability techniques. Under small-gain type local conditions, a solution for the finite-time regulation of a class of uncertain nonlinear systems is obtained.