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.

引用

页码：1576 / 1585

页数：10

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