On finite-time robust stabilization via nonlinear state feedback

被引：16

作者：

Zimenko, K. ^{[1
]}

Polyakov, A. ^{[1
,2
,3
]}

Efimov, D. ^{[1
,2
,3
]}

机构：

[1] ITMO Univ, Dept Control Syst & Informat, 49 Kronverkskiy Ave, St Petersburg 197101, Russia

[2] Inria Lille Nord Europe, NonA Team, Villeneuve Dascq, France

[3] Ecole Cent Lille, Ctr Rech Informat Signal & Automat Lille CRIStAL, Villeneuve Dascq, France

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2018年 / 28卷 / 16期

基金：

俄罗斯科学基金会;

关键词：

homogeneous systems; implicit Lyapunov function; nonasymptotic stabilization; SLIDING MODE CONTROL; CONTROL-SYSTEMS; STABILITY; HOMOGENEITY; OBSERVERS;

D O I：

10.1002/rnc.4292

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A nonlinear control law is designed for finite-time stabilization of a chain of integrators. The method is based on the implicit Lyapunov function technique and homogeneity properties. The scheme of control parameter selection is presented by a linear matrix inequality. The method is simple in implementation and does not assume an online procedure for the computation of the implicit Lyapunov function value at the current state that is an improvement with respect to the works of Polyakov et al. The control law is presented in an explicit form and allows finding the values of all control parameters that make the solution one of the most constructive. The theoretical results are supported by numerical examples.

引用

页码：4951 / 4965

页数：15

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