A generalized reaching law for discrete time sliding mode control

被引：97

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 50 条

[1] Discrete time reaching law based sliding mode control: a survey
Lesniewski, Piotr
[J]. 2018 22ND INTERNATIONAL CONFERENCE ON SYSTEM THEORY, CONTROL AND COMPUTING (ICSTCC), 2018, : 734 - 739
[2] Reaching Law Based Sliding Mode Control for Discrete Time System with Uncertainty
Hou, Huazhou
Yu, Xinghuo
Zhang, Qingling
Huang, Junjian
[J]. 2018 IEEE 27TH INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS (ISIE), 2018, : 1155 - 1160
[3] Discrete-time sliding mode control with inverse hyperbolic sine reaching law
Samantaray, Jagannath
Chakrabarty, Sohom
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (14):
[4] A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems
Xu, Qian
Du, H. P.
He, B.
Yan, T. H.
Li, W. H.
Sun, S. S.
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
[5] Improved sliding mode control for discrete-time systems via reaching law
Niu, Y.
Ho, D. W. C.
Wang, Z.
[J]. IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (11): : 2245 - 2251
[6] Non-Switching Reaching Law for Sliding Mode Control of Discrete Time Systems
Bartoszewicz, Andrzej
[J]. 2013 17TH INTERNATIONAL CONFERENCE ON SYSTEM THEORY, CONTROL AND COMPUTING (ICSTCC), 2013, : 60 - 65
[7] Discrete-Time Sliding-Mode Control With Enhanced Power Reaching Law
Ma, Haifeng
Li, Yangmin
Xiong, Zhenhua
[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2019, 66 (06) : 4629 - 4638
[8] New Reaching Law for Quasi-Sliding Mode Control of Discrete Time Systems
Bartoszewicz, Andrzej
Lesniewski, Piotr
[J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 2881 - 2887
[9] A general switching type reaching law for discrete time sliding mode control systems
Lesniewski, Piotr
Bartoszewicz, Andrzej
[J]. 2015 20TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2015, : 211 - 216
[10] A Novel Exponential Reaching Law of Discrete-Time Sliding-Mode Control
Ma, Haifeng
Wu, Jianhua
Xiong, Zhenhua
[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2017, 64 (05) : 3840 - 3850

← 1 2 3 4 5 →