Global finite-time stabilization of a nonlinear system using dynamic exponent scaling
Global finite-time stabilization of a nonlinear system using dynamic exponent scaling
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DOI：
10.1109/cdc.2008.4739026
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发表时间：
2008-12
期刊：
影响因子：
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通讯作者：
Sangbo Seo;H. Shim;J. Seo
中科院分区：
文献类型：
--
作者：
Sangbo Seo;H. Shim;J. Seo
本文考虑一类三角非线性系统的全局有限时间镇定问题。所提出的设计方法是基于反步法和基于增广动力学的动态指数缩放，并由此得到动态平滑反馈控制器。利用有限时间Lyapunov稳定性理论和“度指标”的新概念，证明了闭环系统的有限时间稳定性和控制器的有界性。
In this paper we consider the problem of global finite-time stabilization for a class of triangular nonlinear systems. The proposed design method is based on backstepping and dynamic exponent scaling using an augmented dynamics, from which, a dynamic smooth feedback controller is derived. The finite-time stability of the closed-loop system and the boundedness of the controller are proved by the finite-time Lyapunov stability theory and a new notion `degree indicator¿.