New H∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching

Li Li; Qianqian Ma; Hongwei Xia; Guangcheng Ma; Dali Zhang

doi:10.1109/ICICIP.2016.7885891

New H_∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching

Li Li
, Qianqian Ma
, Hongwei Xia
, Guangcheng Ma
, Dali Zhang

School of Information Science and Engineering, Harbin Institute of Technology Weihai
School of Astronautics, Harbin Institute of Technology

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

Abstract

The paper concerns the issue of H_∞ fuzzy filter design for T-S fuzzy-model based system involving time-delay. In the light of the Lyapunov stability theory, improved stability criteria for the filtering system are developed, and corresponding H_∞ fuzzy filter design approaches are proposed as well, all the derived results are given as the feasibility of LMIs. Besides, the novel imperfect premise matching methodology is adopted to derive the H_∞ fuzzy filter, which allows the H_∞ fuzzy filter and the T-S fuzzy model have distinct membership functions and different number of fuzzy rules, such design can provide larger design flexibility and better robustness property. Finally, two numerical examples are offered to clarify the validity and the superiority of the designed method.

Original language	English
Title of host publication	7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	143-148
Number of pages	6
ISBN (Electronic)	9781509021550
DOIs	https://doi.org/10.1109/ICICIP.2016.7885891
State	Published - 23 Mar 2017
Externally published	Yes
Event	7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Siem Reap, Cambodia Duration: 1 Dec 2016 → 4 Dec 2016

Publication series

Name	7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings

Conference

Conference	7th International Conference on Intelligent Control and Information Processing, ICICIP 2016
Country/Territory	Cambodia
City	Siem Reap
Period	1/12/16 → 4/12/16

Keywords

H filter design
Imperfect premise matching
Stability analysis
T-S fuzzy model
Time-varying delay

Access to Document

10.1109/ICICIP.2016.7885891

Cite this

Li, L., Ma, Q., Xia, H., Ma, G., & Zhang, D. (2017). New H_∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching. In 7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings (pp. 143-148). Article 7885891 (7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICICIP.2016.7885891

Li, Li ; Ma, Qianqian ; Xia, Hongwei et al. / New H_∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching. 7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 143-148 (7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings).

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title = "New H∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching",

abstract = "The paper concerns the issue of H∞ fuzzy filter design for T-S fuzzy-model based system involving time-delay. In the light of the Lyapunov stability theory, improved stability criteria for the filtering system are developed, and corresponding H∞ fuzzy filter design approaches are proposed as well, all the derived results are given as the feasibility of LMIs. Besides, the novel imperfect premise matching methodology is adopted to derive the H∞ fuzzy filter, which allows the H∞ fuzzy filter and the T-S fuzzy model have distinct membership functions and different number of fuzzy rules, such design can provide larger design flexibility and better robustness property. Finally, two numerical examples are offered to clarify the validity and the superiority of the designed method.",

keywords = "H filter design, Imperfect premise matching, Stability analysis, T-S fuzzy model, Time-varying delay",

author = "Li Li and Qianqian Ma and Hongwei Xia and Guangcheng Ma and Dali Zhang",

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Li, L, Ma, Q, Xia, H , Ma, G & Zhang, D 2017, New H_∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching. in 7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings., 7885891, 7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 143-148, 7th International Conference on Intelligent Control and Information Processing, ICICIP 2016, Siem Reap, Cambodia, 1/12/16. https://doi.org/10.1109/ICICIP.2016.7885891

New H_∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching. / Li, Li; Ma, Qianqian; Xia, Hongwei et al.
7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. p. 143-148 7885891 (7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings).

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

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AB - The paper concerns the issue of H∞ fuzzy filter design for T-S fuzzy-model based system involving time-delay. In the light of the Lyapunov stability theory, improved stability criteria for the filtering system are developed, and corresponding H∞ fuzzy filter design approaches are proposed as well, all the derived results are given as the feasibility of LMIs. Besides, the novel imperfect premise matching methodology is adopted to derive the H∞ fuzzy filter, which allows the H∞ fuzzy filter and the T-S fuzzy model have distinct membership functions and different number of fuzzy rules, such design can provide larger design flexibility and better robustness property. Finally, two numerical examples are offered to clarify the validity and the superiority of the designed method.

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Li L, Ma Q, Xia H , Ma G, Zhang D. New H_∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching. In 7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. p. 143-148. 7885891. (7th International Conference on Intelligent Control and Information Processing, ICICIP 2016 - Proceedings). doi: 10.1109/ICICIP.2016.7885891