Improved fuzzy H∞ filter design method for nonlinear systems with time-varing delay

Qianqian Ma; Li Li; Junhui Shen; Haowei Guan; Guangcheng Ma; Hongwei Xia

doi:10.1109/SMC.2017.8122693

Improved fuzzy H_∞ filter design method for nonlinear systems with time-varing delay

Qianqian Ma
, Li Li
, Junhui Shen
, Haowei Guan
, Guangcheng Ma
, Hongwei Xia

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

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

4 Scopus citations

Abstract

This paper investigates the fuzzy H_∞ filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy H_∞ filter design method, a novel integral inequality is employed to replace the conventional Lebniz-Newton formula to analyze the stability conditions of the filtering error system. Besides, the information of the membership functions is introduced in the criterion to further relax the derived results. The proposed delay dependent filter design method is presented as LMI-based conditions, and corresponding definite expressions of fuzzy H_∞ filter are given as well. Finally, a simulation example is provided to prove the effectiveness and superiority of the designed fuzzy H_∞ filter.

Original language	English
Title of host publication	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	722-727
Number of pages	6
ISBN (Electronic)	9781538616451
DOIs	https://doi.org/10.1109/SMC.2017.8122693
State	Published - 27 Nov 2017
Externally published	Yes
Event	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017 - Banff, Canada Duration: 5 Oct 2017 → 8 Oct 2017

Publication series

Name	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
Volume	2017-January

Conference

Conference	2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017
Country/Territory	Canada
City	Banff
Period	5/10/17 → 8/10/17

Access to Document

10.1109/SMC.2017.8122693

Cite this

Ma, Q., Li, L., Shen, J., Guan, H., Ma, G., & Xia, H. (2017). Improved fuzzy H_∞ filter design method for nonlinear systems with time-varing delay. In 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017 (pp. 722-727). (2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017; Vol. 2017-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SMC.2017.8122693

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abstract = "This paper investigates the fuzzy H∞ filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy H∞ filter design method, a novel integral inequality is employed to replace the conventional Lebniz-Newton formula to analyze the stability conditions of the filtering error system. Besides, the information of the membership functions is introduced in the criterion to further relax the derived results. The proposed delay dependent filter design method is presented as LMI-based conditions, and corresponding definite expressions of fuzzy H∞ filter are given as well. Finally, a simulation example is provided to prove the effectiveness and superiority of the designed fuzzy H∞ filter.",

author = "Qianqian Ma and Li Li and Junhui Shen and Haowei Guan and Guangcheng Ma and Hongwei Xia",

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Ma, Q, Li, L, Shen, J, Guan, H, Ma, G & Xia, H 2017, Improved fuzzy H_∞ filter design method for nonlinear systems with time-varing delay. in 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017, vol. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 722-727, 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017, Banff, Canada, 5/10/17. https://doi.org/10.1109/SMC.2017.8122693

Improved fuzzy H_∞ filter design method for nonlinear systems with time-varing delay. / Ma, Qianqian; Li, Li; Shen, Junhui et al.
2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 722-727 (2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017; Vol. 2017-January).

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

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N2 - This paper investigates the fuzzy H∞ filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy H∞ filter design method, a novel integral inequality is employed to replace the conventional Lebniz-Newton formula to analyze the stability conditions of the filtering error system. Besides, the information of the membership functions is introduced in the criterion to further relax the derived results. The proposed delay dependent filter design method is presented as LMI-based conditions, and corresponding definite expressions of fuzzy H∞ filter are given as well. Finally, a simulation example is provided to prove the effectiveness and superiority of the designed fuzzy H∞ filter.

AB - This paper investigates the fuzzy H∞ filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy H∞ filter design method, a novel integral inequality is employed to replace the conventional Lebniz-Newton formula to analyze the stability conditions of the filtering error system. Besides, the information of the membership functions is introduced in the criterion to further relax the derived results. The proposed delay dependent filter design method is presented as LMI-based conditions, and corresponding definite expressions of fuzzy H∞ filter are given as well. Finally, a simulation example is provided to prove the effectiveness and superiority of the designed fuzzy H∞ filter.

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Ma Q, Li L, Shen J, Guan H, Ma G , Xia H. Improved fuzzy H_∞ filter design method for nonlinear systems with time-varing delay. In 2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 722-727. (2017 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2017). doi: 10.1109/SMC.2017.8122693