An Improved H Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay

Tuo Zhou Xi-Qin He

Tuo Zhou, Xi-Qin He. An Improved H∞ Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(6): 671-678. doi: 10.1007/s11633-015-0930-x
引用本文: Tuo Zhou, Xi-Qin He. An Improved H Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(6): 671-678. doi: 10.1007/s11633-015-0930-x
Tuo Zhou and Xi-Qin He. An Improved H∞ Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 6, pp. 671-678, 2015 doi:  10.1007/s11633-015-0930-x
Citation: Tuo Zhou and Xi-Qin He. An Improved H∞ Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 6, pp. 671-678, 2015 doi:  10.1007/s11633-015-0930-x

An Improved H Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay

doi: 10.1007/s11633-015-0930-x
基金项目: 

This work was supported in part by Funds of National Science of China (No. 61174215).

详细信息
    作者简介:

    Xi-Qin He received the B. Sc., M.E. and Ph.D. degrees from Northeastern University in 1987, 1996, and 2000, respectively. Currently, he is a professor and the Dean of the Faculty of Science, Liaoning University of Science and Technology. He has published about 60 refereed journal and conference papers. His research interests include fuzzy control theory and its application, artificial intelligence, and perturbation analysis. E-mail: xiqinhe@ustl.edu.cn

An Improved H Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay

Funds: 

This work was supported in part by Funds of National Science of China (No. 61174215).

  • 摘要: This paper addresses a robust H filter design problem for nonlinear systems with time-varying delay through Takagi-Sugeno (T-S) fuzzy model approach. Firstly, by introducing free-weighting matrix method combined with a matrix decoupling approach and adopting an improved integral inequality method without ignoring any integral term, less conservative results are achieved. Next, based on the model, new delay-dependent sufficient conditions are derived, which are less conservative than the existing ones via solving the linear matrix inequalities (LMIs). Lastly, simulations show a significant improvement over the previous results.
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An Improved H Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay

doi: 10.1007/s11633-015-0930-x
    基金项目:

    This work was supported in part by Funds of National Science of China (No. 61174215).

    作者简介:

    Xi-Qin He received the B. Sc., M.E. and Ph.D. degrees from Northeastern University in 1987, 1996, and 2000, respectively. Currently, he is a professor and the Dean of the Faculty of Science, Liaoning University of Science and Technology. He has published about 60 refereed journal and conference papers. His research interests include fuzzy control theory and its application, artificial intelligence, and perturbation analysis. E-mail: xiqinhe@ustl.edu.cn

摘要: This paper addresses a robust H filter design problem for nonlinear systems with time-varying delay through Takagi-Sugeno (T-S) fuzzy model approach. Firstly, by introducing free-weighting matrix method combined with a matrix decoupling approach and adopting an improved integral inequality method without ignoring any integral term, less conservative results are achieved. Next, based on the model, new delay-dependent sufficient conditions are derived, which are less conservative than the existing ones via solving the linear matrix inequalities (LMIs). Lastly, simulations show a significant improvement over the previous results.

English Abstract

Tuo Zhou, Xi-Qin He. An Improved H∞ Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(6): 671-678. doi: 10.1007/s11633-015-0930-x
引用本文: Tuo Zhou, Xi-Qin He. An Improved H Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(6): 671-678. doi: 10.1007/s11633-015-0930-x
Tuo Zhou and Xi-Qin He. An Improved H∞ Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 6, pp. 671-678, 2015 doi:  10.1007/s11633-015-0930-x
Citation: Tuo Zhou and Xi-Qin He. An Improved H∞ Filter Design for Nonlinear Systems Described by T-S Fuzzy Models with Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 6, pp. 671-678, 2015 doi:  10.1007/s11633-015-0930-x
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