Observer-based sliding mode control for a class of nonlinear systems with distributed delays

Zhibo Zhou; Jinxiang Wang; Ligang Wu

doi:10.1109/WCICA.2006.1712719

Observer-based sliding mode control for a class of nonlinear systems with distributed delays

Zhibo Zhou^*
, Jinxiang Wang
, Ligang Wu

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

1 Scopus citations

Abstract

This paper is concerned with the sliding mode observer design and observer-based controller design for a class of uncertain nonlinear distributed delay systems. According to the sliding mode control theory, first, a sufficient condition is proposed for robust asymptotic stability of the sliding mode dynamics. A sliding mode observer is designed, and at the same time, a sufficient condition is given for the existence of such an observer in terms of LMI. Based on estimated system state, a controller is synthesized by using the sliding mode control theory combining with the reaching law technology. This proposed control scheme guarantees the reachability of the sliding surfaces defined in both the state estimation space and the state estimation error space. Numerical example is given to illustrate the proposed design scheme.

Original language	English
Title of host publication	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Pages	2051-2055
Number of pages	5
DOIs	https://doi.org/10.1109/WCICA.2006.1712719
State	Published - 2006
Event	6th World Congress on Intelligent Control and Automation, WCICA 2006 - Dalian, China Duration: 21 Jun 2006 → 23 Jun 2006

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Volume	1

Conference

Conference	6th World Congress on Intelligent Control and Automation, WCICA 2006
Country/Territory	China
City	Dalian
Period	21/06/06 → 23/06/06

Keywords

Distributed delay systems
Linear matrix inequality (LMI)
Nonlinear
Observer
Sliding mode

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10.1109/WCICA.2006.1712719

Cite this

Zhou, Z., Wang, J., & Wu, L. (2006). Observer-based sliding mode control for a class of nonlinear systems with distributed delays. In Proceedings of the World Congress on Intelligent Control and Automation (WCICA) (pp. 2051-2055). Article 1712719 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 1). https://doi.org/10.1109/WCICA.2006.1712719

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title = "Observer-based sliding mode control for a class of nonlinear systems with distributed delays",

abstract = "This paper is concerned with the sliding mode observer design and observer-based controller design for a class of uncertain nonlinear distributed delay systems. According to the sliding mode control theory, first, a sufficient condition is proposed for robust asymptotic stability of the sliding mode dynamics. A sliding mode observer is designed, and at the same time, a sufficient condition is given for the existence of such an observer in terms of LMI. Based on estimated system state, a controller is synthesized by using the sliding mode control theory combining with the reaching law technology. This proposed control scheme guarantees the reachability of the sliding surfaces defined in both the state estimation space and the state estimation error space. Numerical example is given to illustrate the proposed design scheme.",

keywords = "Distributed delay systems, Linear matrix inequality (LMI), Nonlinear, Observer, Sliding mode",

author = "Zhibo Zhou and Jinxiang Wang and Ligang Wu",

year = "2006",

doi = "10.1109/WCICA.2006.1712719",

language = "英语",

isbn = "1424403324",

series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

pages = "2051--2055",

booktitle = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

note = "6th World Congress on Intelligent Control and Automation, WCICA 2006 ; Conference date: 21-06-2006 Through 23-06-2006",

}

Zhou, Z, Wang, J & Wu, L 2006, Observer-based sliding mode control for a class of nonlinear systems with distributed delays. in Proceedings of the World Congress on Intelligent Control and Automation (WCICA)., 1712719, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), vol. 1, pp. 2051-2055, 6th World Congress on Intelligent Control and Automation, WCICA 2006, Dalian, China, 21/06/06. https://doi.org/10.1109/WCICA.2006.1712719

Observer-based sliding mode control for a class of nonlinear systems with distributed delays. / Zhou, Zhibo; Wang, Jinxiang ; Wu, Ligang.
Proceedings of the World Congress on Intelligent Control and Automation (WCICA). 2006. p. 2051-2055 1712719 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 1).

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

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AU - Wang, Jinxiang

AU - Wu, Ligang

PY - 2006

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N2 - This paper is concerned with the sliding mode observer design and observer-based controller design for a class of uncertain nonlinear distributed delay systems. According to the sliding mode control theory, first, a sufficient condition is proposed for robust asymptotic stability of the sliding mode dynamics. A sliding mode observer is designed, and at the same time, a sufficient condition is given for the existence of such an observer in terms of LMI. Based on estimated system state, a controller is synthesized by using the sliding mode control theory combining with the reaching law technology. This proposed control scheme guarantees the reachability of the sliding surfaces defined in both the state estimation space and the state estimation error space. Numerical example is given to illustrate the proposed design scheme.

AB - This paper is concerned with the sliding mode observer design and observer-based controller design for a class of uncertain nonlinear distributed delay systems. According to the sliding mode control theory, first, a sufficient condition is proposed for robust asymptotic stability of the sliding mode dynamics. A sliding mode observer is designed, and at the same time, a sufficient condition is given for the existence of such an observer in terms of LMI. Based on estimated system state, a controller is synthesized by using the sliding mode control theory combining with the reaching law technology. This proposed control scheme guarantees the reachability of the sliding surfaces defined in both the state estimation space and the state estimation error space. Numerical example is given to illustrate the proposed design scheme.

KW - Distributed delay systems

KW - Linear matrix inequality (LMI)

KW - Nonlinear

KW - Observer

KW - Sliding mode

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M3 - 会议稿件

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SN - 1424403324

SN - 9781424403325

T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

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BT - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

T2 - 6th World Congress on Intelligent Control and Automation, WCICA 2006

Y2 - 21 June 2006 through 23 June 2006

ER -

Observer-based sliding mode control for a class of nonlinear systems with distributed delays

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