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

Tuo Zhou,  Xi-Qin He

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文章导航 > International Journal of Automation and Computing  > 2015 >  12(6): 671-678
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
shu
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
shu

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

  • School of Science, Liaoning University of Science and Technology, Anshan 114051, China

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

  • School of Science, Liaoning University of Science and Technology, Anshan 114051, China

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.
    Abstract: 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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  • 收稿日期:  2014-08-27
  • 修回日期:  2015-01-07

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
  • School of Science, Liaoning University of Science and Technology, Anshan 114051, China
    • 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

  • 收稿日期: 2014-08-27
  • 修回日期: 2015-01-07

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
shu
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
shu

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