Finite-time stabilisation for high-order nonlinear systems with low-order and high-order nonlinearities

被引：19
|
作者：
Zhang, Kemei [1 ]
Zhang, Xing-Hui [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Rizhao 273165, Shandong, Peoples R China
[2] Qufu Normal Univ, Inst Automat, Rizhao 273165, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2015年 / 88卷 / 08期
基金：
中国国家自然科学基金;
关键词：
high-order nonlinear systems; low-order and high-order nonlinearities; finite-time stabilisation; dynamic gain control; OUTPUT-FEEDBACK STABILIZATION; BACKSTEPPING CONTROLLER-DESIGN; STOCHASTIC BARBALATS LEMMA; STATE-FEEDBACK; VARYING DELAY; INVERSE DYNAMICS; HOMOGENEOUS DOMINATION; GLOBAL STABILIZATION; UNKNOWN COVARIANCE; ADAPTIVE TRACKING;
D O I：
10.1080/00207179.2015.1011697
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers the finite-time stabilisation for a class of high-order nonlinear systems with both low-order and high-order nonlinearities. Based on the finite-time Lyapunov stability theorem together with the methods of dynamic gain control and adding one power integrator, a state feedback controller with gains being tuned online by two dynamic equations is proposed to guarantee the global finite-time stabilisation of the closed-loop system.
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页码：1576 / 1585
页数：10
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