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首页> 外文期刊>Journal of the Franklin Institute >H_∞ non-minimal filter design in finite frequency ranges for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays
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H_∞ non-minimal filter design in finite frequency ranges for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays

机译：时滞离散Takagi-Sugeno模糊系统在有限频率范围内的H_∞非最小滤波器设计

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摘要

This paper addresses the problem of H-infinity fuzzy filter design in finite frequency intervals for discrete-time nonlinear systems subject to time-varying delays. Fuzzy filters whose order is greater (non-minimal) than the order of the system are synthesized by transforming the original time-delayed system into an equivalent switched nonlinear system. The design conditions are given in terms of sufficient parameterdependent linear matrix inequalities that can be solved through relaxations based on semi-definite programming The advantages of the proposed approach are illustrated through numerical examples and comparisons with other available techniques. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译：本文针对时变时滞的离散时间非线性系统，在有限的频率间隔内解决了H无限模糊滤波器的设计问题。通过将原始的时滞系统转换为等效的切换非线性系统，来合成阶数大于（非最小）阶数的模糊滤波器。根据充分的参数相关线性矩阵不等式，给出了设计条件，这些不等式可以通过基于半定规划的松弛来解决。通过数值示例和与其他可用技术的比较，说明了该方法的优点。 （C）2019富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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