Filter design for continuous-discrete Takagi-Sugeno fuzzy system with finite frequency specifications

Zhaoxia Duan; Jinling Liang; Zhengrong Xiang; Zhaoxia Duan; Jinling Liang; Zhengrong Xiang

doi:10.3934/mmc.2023031

Mathematical Modelling and Control

2023, Volume 3, Issue 4: 387-399. doi: 10.3934/mmc.2023031

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Research article

Filter design for continuous-discrete Takagi-Sugeno fuzzy system with finite frequency specifications

1.
School of Mathematics, Southeast University, Nanjing 210096, China
2.
School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China
3.
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China

Received: 20 June 2023 Revised: 06 September 2023 Accepted: 24 September 2023 Published: 26 December 2023

This paper was concerned with the problem of filter design for the continuous-discrete system in the Takagi-Sugeno (T-S) fuzzy model. In a known finite frequency (FF) domain, an FF $ H_\infty $ performance was defined for the nonlinear continuous-discrete system. With the designed filter, sufficient conditions were then established for the filtering error system to be asymptotically stable and having a prescribed FF $ H_\infty $ performance. After that, a systematic method for the filter design was proposed. Finally, an example was provided to check effectiveness of the derived results.
- continuous-discrete systems,
- Takagi-Sugeno (T-S) fuzzy scheme,
- filter design,
- finite frequency (FF)
Citation: Zhaoxia Duan, Jinling Liang, Zhengrong Xiang. Filter design for continuous-discrete Takagi-Sugeno fuzzy system with finite frequency specifications[J]. Mathematical Modelling and Control, 2023, 3(4): 387-399. doi: 10.3934/mmc.2023031

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Abstract

This paper was concerned with the problem of filter design for the continuous-discrete system in the Takagi-Sugeno (T-S) fuzzy model. In a known finite frequency (FF) domain, an FF $ H_\infty $ performance was defined for the nonlinear continuous-discrete system. With the designed filter, sufficient conditions were then established for the filtering error system to be asymptotically stable and having a prescribed FF $ H_\infty $ performance. After that, a systematic method for the filter design was proposed. Finally, an example was provided to check effectiveness of the derived results.

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