Sliding mode control for uncertain discrete-time delayed systems

Yuanqing Xia; Jie Chen; Guo Ping Liu; David Rees

doi:10.1109/CDC.2007.4434309

Sliding mode control for uncertain discrete-time delayed systems

Yuanqing Xia^*, Jie Chen, Guo Ping Liu, David Rees

^*Corresponding author for this work

School of Automation

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this paper, robust sliding mode control is investigated for a class of uncertain systems with time-delay in discrete-time. The uncertainties include both mismatched parametric uncertainties in the state model and the matched external disturbance. After the statement of a sufficient condition for the existence of linear sliding surfaces based on linear matrix inequality (LMI), robust reaching motion control is presented. A simulation study shows the effectiveness of the control scheme.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2047-2052
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434309
Publication status	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

Access to Document

10.1109/CDC.2007.4434309

Cite this

Xia, Y., Chen, J., Liu, G. P., & Rees, D. (2007). Sliding mode control for uncertain discrete-time delayed systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 2047-2052). Article 4434309 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434309

@inproceedings{58af6b50a06b475aa7ecaac424b1d912,

title = "Sliding mode control for uncertain discrete-time delayed systems",

abstract = "In this paper, robust sliding mode control is investigated for a class of uncertain systems with time-delay in discrete-time. The uncertainties include both mismatched parametric uncertainties in the state model and the matched external disturbance. After the statement of a sufficient condition for the existence of linear sliding surfaces based on linear matrix inequality (LMI), robust reaching motion control is presented. A simulation study shows the effectiveness of the control scheme.",

author = "Yuanqing Xia and Jie Chen and Liu, {Guo Ping} and David Rees",

year = "2007",

doi = "10.1109/CDC.2007.4434309",

language = "English",

isbn = "1424414989",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2047--2052",

booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

address = "United States",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

}

Xia, Y, Chen, J, Liu, GP & Rees, D 2007, Sliding mode control for uncertain discrete-time delayed systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434309, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2047-2052, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434309

Sliding mode control for uncertain discrete-time delayed systems. / Xia, Yuanqing; Chen, Jie; Liu, Guo Ping et al.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 2047-2052 4434309 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Xia, Yuanqing

AU - Chen, Jie

AU - Liu, Guo Ping

AU - Rees, David

PY - 2007

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N2 - In this paper, robust sliding mode control is investigated for a class of uncertain systems with time-delay in discrete-time. The uncertainties include both mismatched parametric uncertainties in the state model and the matched external disturbance. After the statement of a sufficient condition for the existence of linear sliding surfaces based on linear matrix inequality (LMI), robust reaching motion control is presented. A simulation study shows the effectiveness of the control scheme.

AB - In this paper, robust sliding mode control is investigated for a class of uncertain systems with time-delay in discrete-time. The uncertainties include both mismatched parametric uncertainties in the state model and the matched external disturbance. After the statement of a sufficient condition for the existence of linear sliding surfaces based on linear matrix inequality (LMI), robust reaching motion control is presented. A simulation study shows the effectiveness of the control scheme.

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U2 - 10.1109/CDC.2007.4434309

DO - 10.1109/CDC.2007.4434309

M3 - Conference contribution

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SN - 9781424414987

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2047

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BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 46th IEEE Conference on Decision and Control 2007, CDC

Y2 - 12 December 2007 through 14 December 2007

ER -

Sliding mode control for uncertain discrete-time delayed systems

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