Fast finite-time stability and its application in adaptive control of high-order nonlinear system

被引：214

作者：

Sun, Zong-Yao ^{[1
]}

Shao, Yu ^{[1
]}

Chen, Chih-Chiang ^{[2
]}

机构：

[1] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China

[2] Natl Cheng Kung Univ, Dept Syst & Naval Mechatron Engn, Tainan 70101, Taiwan

来源：

AUTOMATICA | 2019年 / 106卷

基金：

中国国家自然科学基金;

关键词：

Fast finite-time stabilization; Adaptive control; High-order uncertain nonlinear system; Continuous domination; OUTPUT-FEEDBACK STABILIZATION; GLOBAL STABILIZATION; VARYING FEEDBACK; CONTROL DESIGN; CONSENSUS;

D O I：

10.1016/j.automatica.2019.05.018

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 addresses the problem of global finite-time adaptive stabilization for a class of high order uncertain nonlinear systems. A new finite-time stability result is established to provide a less conservative estimation of convergent time in uncertain situation, and a state feedback stabilizer with an adaptive mechanism is constructed by applying continuous domination to adaptive fashion of the systems to be considered. The main novelty of this paper is the skillful development of an analytic strategy and the delicate selection of Lyapunov functions in searching for the adaptive fast finite-time stabilizer. A benchmark example is given to demonstrate the effectiveness of the proposed strategy. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：339 / 348

页数：10

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