Continuous finite- and fixed-time high-order regulators

被引：116

作者：

Basin, Michael ^{[1
,3
]}

Shtessel, Yuri ^{[2
]}

Aldukali, Fathi ^{[2
]}

机构：

[1] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas De Los Garza, Nuevo Leon, Mexico

[2] Univ Alabama Huntsville, Dept Elect & Comp Engn, Huntsville, AL USA

[3] ITMO Univ, St Petersburg, Russia

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 18期

关键词：

SLIDING MODE CONTROL; LYAPUNOV FUNCTIONS; CONTROL-SYSTEMS; DESIGN; STABILIZATION; STABILITY;

D O I：

10.1016/j.jfranklin.2016.09.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The contribution of this paper is twofold. First, an upper estimate of the convergence (settling) time is calculated for the finite-time convergent control algorithm that drives the state of a series of integrators to the origin. To the best of our knowledge, such an estimate is obtained for the first time. Second, a novel fixed-time continuous control law is proposed for a chain of integrators of an arbitrary dimension. Its fixed time convergence is established and the uniform upper bound of the settling time is computed. The theoretical developments are applied to a case study of controlling a DC motor. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5001 / 5012

页数：12

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