Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach

Ji Qing Qiu; Hong Jiu Yang; Jin Hui Zhang

doi:10.1109/ICMLC.2007.4370335

Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach

Ji Qing Qiu^*, Hong Jiu Yang, Jin Hui Zhang

^*Corresponding author for this work

School of Automation

Hebei University of Science and Technology

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

1 Citation (Scopus)

Abstract

In this paper, the problem of robust state feedback control using delta operator approach for a class of fuzzy uncertain systems with sampling-period dependent time delays is investigated. Based on Lyapunov-Krasovskii functional in delta domain, a new time-delay dependent fuzzy state feedback controller is presented in terms of linear matrix inequalities (LMIs). The proposed method can unify some previous related continuous and discrete fuzzy systems into the fuzzy delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques.

Original language	English
Title of host publication	Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007
Pages	1244-1249
Number of pages	6
DOIs	https://doi.org/10.1109/ICMLC.2007.4370335
Publication status	Published - 2007
Event	6th International Conference on Machine Learning and Cybernetics, ICMLC 2007 - Hong Kong, China Duration: 19 Aug 2007 → 22 Aug 2007

Publication series

Name	Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007
Volume	3

Conference

Conference	6th International Conference on Machine Learning and Cybernetics, ICMLC 2007
Country/Territory	China
City	Hong Kong
Period	19/08/07 → 22/08/07

Keywords

Delta operator system
Linear Matrix Inequality (LMI)
Norm bounded uncertainty
State feedback
T-S model
Time delay

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10.1109/ICMLC.2007.4370335

Cite this

Qiu, J. Q., Yang, H. J., & Zhang, J. H. (2007). Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach. In Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007 (pp. 1244-1249). Article 4370335 (Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007; Vol. 3). https://doi.org/10.1109/ICMLC.2007.4370335

Qiu, Ji Qing ; Yang, Hong Jiu ; Zhang, Jin Hui. / Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach. Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007. 2007. pp. 1244-1249 (Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007).

@inproceedings{f3f963cde71a4206990e0a6c207a7a73,

title = "Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach",

abstract = "In this paper, the problem of robust state feedback control using delta operator approach for a class of fuzzy uncertain systems with sampling-period dependent time delays is investigated. Based on Lyapunov-Krasovskii functional in delta domain, a new time-delay dependent fuzzy state feedback controller is presented in terms of linear matrix inequalities (LMIs). The proposed method can unify some previous related continuous and discrete fuzzy systems into the fuzzy delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques.",

keywords = "Delta operator system, Linear Matrix Inequality (LMI), Norm bounded uncertainty, State feedback, T-S model, Time delay",

author = "Qiu, {Ji Qing} and Yang, {Hong Jiu} and Zhang, {Jin Hui}",

year = "2007",

doi = "10.1109/ICMLC.2007.4370335",

language = "English",

isbn = "142440973X",

series = "Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007",

pages = "1244--1249",

booktitle = "Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007",

note = "6th International Conference on Machine Learning and Cybernetics, ICMLC 2007 ; Conference date: 19-08-2007 Through 22-08-2007",

}

Qiu, JQ, Yang, HJ & Zhang, JH 2007, Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach. in Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007., 4370335, Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007, vol. 3, pp. 1244-1249, 6th International Conference on Machine Learning and Cybernetics, ICMLC 2007, Hong Kong, China, 19/08/07. https://doi.org/10.1109/ICMLC.2007.4370335

Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach. / Qiu, Ji Qing; Yang, Hong Jiu; Zhang, Jin Hui.
Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007. 2007. p. 1244-1249 4370335 (Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007; Vol. 3).

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

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AU - Qiu, Ji Qing

AU - Yang, Hong Jiu

AU - Zhang, Jin Hui

PY - 2007

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N2 - In this paper, the problem of robust state feedback control using delta operator approach for a class of fuzzy uncertain systems with sampling-period dependent time delays is investigated. Based on Lyapunov-Krasovskii functional in delta domain, a new time-delay dependent fuzzy state feedback controller is presented in terms of linear matrix inequalities (LMIs). The proposed method can unify some previous related continuous and discrete fuzzy systems into the fuzzy delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques.

AB - In this paper, the problem of robust state feedback control using delta operator approach for a class of fuzzy uncertain systems with sampling-period dependent time delays is investigated. Based on Lyapunov-Krasovskii functional in delta domain, a new time-delay dependent fuzzy state feedback controller is presented in terms of linear matrix inequalities (LMIs). The proposed method can unify some previous related continuous and discrete fuzzy systems into the fuzzy delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques.

KW - Delta operator system

KW - Linear Matrix Inequality (LMI)

KW - Norm bounded uncertainty

KW - State feedback

KW - T-S model

KW - Time delay

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U2 - 10.1109/ICMLC.2007.4370335

DO - 10.1109/ICMLC.2007.4370335

M3 - Conference contribution

AN - SCOPUS:38049070420

SN - 142440973X

SN - 9781424409730

T3 - Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007

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BT - Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007

T2 - 6th International Conference on Machine Learning and Cybernetics, ICMLC 2007

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ER -

Qiu JQ, Yang HJ, Zhang JH. Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach. In Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007. 2007. p. 1244-1249. 4370335. (Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007). doi: 10.1109/ICMLC.2007.4370335

Robust state feedback control for a class of discrete-time fuzzy systems via delta operator approach

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