Continuous fixed-time convergent regulator for dynamic systems with unbounded disturbances

被引：18

作者：

Basin, Michael ^{[1
,2
]}

Rodriguez-Ramirez, Pablo ^{[1
]}

Ding, Steven X. ^{[3
]}

Daszenies, Tim ^{[3
]}

Shtessel, Yuri ^{[4
]}

机构：

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

[2] ITMO Univ, St Petersburg, Russia

[3] Univ Duisburg Essen, Inst Automat Control & Complex Syst, Duisburg, Germany

[4] Univ Alabama, Dept Elect & Comp Engn, Huntsville, AL 35899 USA

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 05期

关键词：

LYAPUNOV FUNCTIONS; ORDER;

D O I：

10.1016/j.jfranklin.2018.01.010

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 presents a novel continuous fixed-time convergent control law for dynamic systems in the presence of unbounded disturbances. A continuous fixed-time convergent control is designed to drive all states of a multi-dimensional integrator chain at the origin for a finite pre-established (fixed) time, using a scalar input. The fixed-time convergence is established and the uniform upper bound of the settling time is computed. The designed control algorithm is applied to fixed-time stabilization of two mechatronic systems, a cart inverted pendulum and a single machine infinite bus turbo generator with main steam valve control. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2762 / 2778

页数：17

共 17 条

[1]

[Anonymous], 2011, INTELL CONTROL AUTOM

[2]

Basin M, 2016, IEEE DECIS CONTR P, P6440, DOI 10.1109/CDC.2016.7799260

[3] Continuous finite- and fixed-time high-order regulators [J].

Basin, Michael ;

Shtessel, Yuri ;

Aldukali, Fathi .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (18) :5001-5012

[4]

Basin M, 2015, IEEE DECIS CONTR P, P5408, DOI 10.1109/CDC.2015.7403066

[5] Geometric homogeneity with applications to finite-time stability [J].

Bhat, SP ;

Bernstein, DS .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2005, 17 (02) :101-127

[6] Uniform Robust Exact Differentiator [J].

Cruz-Zavala, Emmanuel ;

Moreno, Jaime A. ;

Fridman, Leonid M. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (11) :2727-2733

[7]

Ding SX, 2013, ADV IND CONTROL, P1, DOI 10.1007/978-1-4471-4799-2

[8] Robust exact differentiation via sliding mode technique [J].

Levant, A .

AUTOMATICA, 1998, 34 (03) :379-384

[9] SLIDING ORDER AND SLIDING ACCURACY IN SLIDING MODE CONTROL [J].

LEVANT, A .

INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (06) :1247-1263

[10]

Moreno JA, 2011, LECT NOTES CONTR INF, V412, P113

← 1 2 →