A generalized reaching law for discrete time sliding mode control

被引：109

作者：

Chakrabarty, Sohom ^{[1
]}

Bandyopadhyay, Bijnan ^{[1
]}

机构：

[1] Indian Inst Technol, IDP Syst & Control, Bombay, Maharashtra, India

来源：

AUTOMATICA | 2015年 / 52卷

关键词：

Discrete control; Sliding mode control; Generalized algorithm; Discrete reaching law; Band approach;

D O I：

10.1016/j.automatica.2014.10.124

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 paper presents a generalized algorithm for the reaching and boundedness of the sliding variable in case of discrete time sliding mode control systems. The algorithm is general as it not only comprises functions in the sliding variable, but also functions in other variables, which are known. With the help of the proposed generalized reaching law, an important problem of a reaching law with uncertainty bounded by known functions is studied. The convergence of the sliding variable to an ultimate bounding function in presence of such an uncertainty is shown by the band approach method. This is achieved by appropriately selecting the functions in the proposed generalized reaching law. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：83 / 86

页数：4

共 11 条

[1] Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems [J].

Acary, Vincent ;

Brogliato, Bernard .

SYSTEMS & CONTROL LETTERS, 2010, 59 (05) :284-293

[2]

Bandyopadhyay B, 2006, LECT NOTES CONTR INF, V323, P1

[3] ADAPTIVE SLIDING MODE CONTROL IN DISCRETE-TIME-SYSTEMS [J].

BARTOLINI, G ;

FERRARA, A ;

UTKIN, VI .

AUTOMATICA, 1995, 31 (05) :769-773

[4] Discrete-time quasi-sliding-mode control strategies [J].

Bartoszewicz, A .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1998, 45 (04) :633-637

[5]

Chakrabarty S, 2013, IEEE IND ELEC, P3640, DOI 10.1109/IECON.2013.6699714

[6]

Chakrabarty S., 2012, 2012 12th IEEE International Workshop on Variable Structure Systems (VSS 2012), P404, DOI 10.1109/VSS.2012.6163536

[7] Complex discretization behaviors of a simple sliding-mode control system [J].

Galias, Zbigniew ;

Yu, Xinghuo .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (08) :652-656

[8] DISCRETE-TIME VARIABLE-STRUCTURE CONTROL-SYSTEMS [J].

GAO, WB ;

WANG, YF ;

HOMAIFA, A .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1995, 42 (02) :117-122

[9] Improved sliding mode control for discrete-time systems via reaching law [J].

Niu, Y. ;

Ho, D. W. C. ;

Wang, Z. .

IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (11) :2245-2251

[10] A novel reaching law approach of quasi-sliding-mode control for uncertain discrete-time systems [J].

Yuan Lei ;

Shen Jian-qing ;

Xiao Fei ;

Wang Heng-li .

JOURNAL OF CENTRAL SOUTH UNIVERSITY, 2012, 19 (09) :2514-2519

← 1 2 →