Global Finite-Time Output-Feedback Stabilization of Nonlinear Systems Under Relaxed Conditions

被引：9

作者：

Zhao, Zhi-Liang ^{[1
,2
]}

Jiang, Zhong-Ping ^{[3
]}

Liu, Tengfei ^{[1
]}

Chai, Tianyou ^{[1
]}

机构：

[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

[2] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Peoples R China

[3] NYU, Tandon Sch Engn, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 09期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Observers; Switches; Stability analysis; Nonlinear systems; Asymptotic stability; Closed loop systems; Finite-time stability; global stability; nonlinear systems; output feedback; HIGH-GAIN; SEMIGLOBAL STABILIZATION; SLIDING MODES; OBSERVERS; STATE;

D O I：

10.1109/TAC.2020.3030857

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 article presents a first constructive solution to the global finite-time output feedback stabilization of a large class of lower triangular nonlinear systems under relaxed conditions. The key idea is to introduce a switching strategy in the control design scheme. Unlike the previous literature, the nonlinearities of the systems are assumed to satisfy a general Holder continuous condition, which include Lipschitz continuous nonlinearities as a special case. Global finite-time stability of the closed-loop observer-controller systems is proved by means of innovative Lyapunov-based analytical techniques. A benchmark practical example of controlling the single-link robotic manipulator coupled to a dc motor is adopted to illustrate the proposed method.

引用

页码：4259 / 4266

页数：8

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