This paper investigates the problem of H-infinity filter design for a class of nonlinear systems. Attention is focused on solving the H-infinity fuzzy filter designed problem for interval type-2 (IT2) fuzzy systems. By using Lyapunov stability theory, an IT2 filter is designed such that the filtering error system is asymptotically stable with the prescribed H-infinity performance levels. The existence condition of the IT2 filter is expressed as the convex optimization problem and the filter parameters in the condition can be solved by the standard software. It is not requited that the IT2 fuzzy model and IT2 fuzzy filter share the same lower and upper membership functions. Finally, a numerical example is provided to show the effectiveness of the proposed results.
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Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China
King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi ArabiaHarbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China
Zhang, Lixian
Dong, Xianke
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Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R ChinaHarbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China
Dong, Xianke
Qiu, Jianbin
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Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R ChinaHarbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China
Qiu, Jianbin
Alsaedi, Ahmed
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King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi ArabiaHarbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China
Alsaedi, Ahmed
Hayat, Tasawar
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King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
Quaid I Azam Univ, Dept Math, Islamabad 44000, PakistanHarbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China