Robust sliding-mode control for uncertain time-delay systems based on delta operator

Yuanqing Xia; Mengyin Fu; Hongjiu Yang; Guo Ping Liu

doi:10.1109/TIE.2008.2007987

Robust sliding-mode control for uncertain time-delay systems based on delta operator

Yuanqing Xia^*
, Mengyin Fu
, Hongjiu Yang
, Guo Ping Liu

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology
University of South Wales
Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

103 Citations (Scopus)

Abstract

This paper is devoted to robust sliding-mode control for time-delay systems with mismatched parametric uncertainties. Based on a delta-operator approach, a delay-dependent sufficient condition for the existence of linear sliding surfaces is given, and a reaching motion controller is also developed. The results obtained in this paper can unify some previous related results of the continuous and discrete systems into the delta-operator systems framework. The feasibility and effectiveness of the developed method are illustrated by an example.

Original language	English
Pages (from-to)	3646-3655
Number of pages	10
Journal	IEEE Transactions on Industrial Electronics
Volume	56
Issue number	9
DOIs	https://doi.org/10.1109/TIE.2008.2007987
Publication status	Published - 2009

Keywords

Delta-operator systems
Linear matrix inequalities (LMIs)
Robust stability
Sliding-mode control (SMC)
Time delays

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10.1109/TIE.2008.2007987

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title = "Robust sliding-mode control for uncertain time-delay systems based on delta operator",

abstract = "This paper is devoted to robust sliding-mode control for time-delay systems with mismatched parametric uncertainties. Based on a delta-operator approach, a delay-dependent sufficient condition for the existence of linear sliding surfaces is given, and a reaching motion controller is also developed. The results obtained in this paper can unify some previous related results of the continuous and discrete systems into the delta-operator systems framework. The feasibility and effectiveness of the developed method are illustrated by an example.",

keywords = "Delta-operator systems, Linear matrix inequalities (LMIs), Robust stability, Sliding-mode control (SMC), Time delays",

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AU - Xia, Yuanqing

AU - Fu, Mengyin

AU - Yang, Hongjiu

AU - Liu, Guo Ping

PY - 2009

Y1 - 2009

N2 - This paper is devoted to robust sliding-mode control for time-delay systems with mismatched parametric uncertainties. Based on a delta-operator approach, a delay-dependent sufficient condition for the existence of linear sliding surfaces is given, and a reaching motion controller is also developed. The results obtained in this paper can unify some previous related results of the continuous and discrete systems into the delta-operator systems framework. The feasibility and effectiveness of the developed method are illustrated by an example.

AB - This paper is devoted to robust sliding-mode control for time-delay systems with mismatched parametric uncertainties. Based on a delta-operator approach, a delay-dependent sufficient condition for the existence of linear sliding surfaces is given, and a reaching motion controller is also developed. The results obtained in this paper can unify some previous related results of the continuous and discrete systems into the delta-operator systems framework. The feasibility and effectiveness of the developed method are illustrated by an example.

KW - Delta-operator systems

KW - Linear matrix inequalities (LMIs)

KW - Robust stability

KW - Sliding-mode control (SMC)

KW - Time delays

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DO - 10.1109/TIE.2008.2007987

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EP - 3655

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

IS - 9

ER -

Robust sliding-mode control for uncertain time-delay systems based on delta operator

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Keywords

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