Abstract
This paper designs an event-triggered \({H_\infty }\) filter for interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy nonlinear networked systems with parameter uncertainties and delays. First, an IT2 T–S fuzzy model is used to describe the nonlinear plant and the filter subject to parameter uncertainties, which can be captured with the lower and upper membership functions. Then, an event-triggered scheme and a quantizer are proposed to reduce the unnecessary waste of the network resources. Second, the asynchronous premise variables problem is considered in the design of the fuzzy filter, which means that the premise variable of the designed filter needs not to be identical with the plant. Third, by constructing a Lyapunov–Krasovskii function with quadruple integral items, and employing the Wirtinger inequality and some slack matrices, a stability condition with less conservative is obtained. Finally, a numerical example demonstrates the effectiveness of the proposed method.
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This work was supported by the National Natural Science Foundation of China under Grants 61876050 and 62033010,the Opening Project of Key Laboratory of Advanced Perception and Intelligent Control of Highend Equipment of Ministry of Education, Anhui Polytechnic University under Grant GDSC202004, the Fundamental Research Funds for the Central Universities under Grant 2242021R20002, theUniversity Synergy Innovation Program of Anhui Province under Grant GXXT-2020-069, the China Postdoctoral Science Foundation funded project under Grant 2020M681449, the Natural Science Foundation of Jiangsu Province under GrantBK20200239,and the Equipment Pre-research Field Fund under GrantJZX7Y20190243001201.
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Ran, G., Liu, J., Li, D. et al. An Event-Triggered \({H_\infty }\) Filter for Interval Type-2 T–S Fuzzy Nonlinear Networked Systems with Parameter Uncertainties and Delays. Int. J. Fuzzy Syst. 23, 2144–2156 (2021). https://doi.org/10.1007/s40815-021-01083-0
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DOI: https://doi.org/10.1007/s40815-021-01083-0