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具有时变延迟的离散时间切换互联系统的鲁棒滤波器设计

Robust filter design for discrete time switched interconnected systems with time-varying delays.

作者信息

Arthi G, Antonyronika M, Ma Yong-Ki

机构信息

Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India.

Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of Korea.

出版信息

Heliyon. 2024 Jul 11;10(14):e34340. doi: 10.1016/j.heliyon.2024.e34340. eCollection 2024 Jul 30.

DOI:10.1016/j.heliyon.2024.e34340
PMID:39130468
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11315089/
Abstract

The filter design of for an interconnecting system (IS) with uncertain discrete time switching is examined. Discrete-time -linear subsystems with coupling states that have time delays, external disturbances and uncertainty are taken into account. Utilising Lyapunov-Krasovskii functional (LKF) and the Linear-Matrix-Inequality (LMI) approach, an appropriate filter is designed for the considered interconnected system. To remove an outside disruption, performances (HP) are implemented. Sufficient criteria are developed to assure the Exponentially Mean-Square Stability (EMSS). Then, using MATLAB-LMI toolbox filter parameters were established. Finally, the efficiency of the designed filter is illustrated with mathematical instances.

摘要

研究了具有不确定离散时间切换的互连系统（IS）的滤波器设计。考虑了具有耦合状态、存在时间延迟、外部干扰和不确定性的离散时间线性子系统。利用李雅普诺夫 - 克拉索夫斯基泛函（LKF）和线性矩阵不等式（LMI）方法，为所考虑的互连系统设计了合适的滤波器。为消除外部干扰，实现了性能指标（HP）。制定了充分的准则以确保指数均方稳定性（EMSS）。然后，使用MATLAB - LMI工具箱确定了滤波器参数。最后，通过数学实例说明了所设计滤波器的有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d60/11315089/23172511fa2d/gr007.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d60/11315089/23172511fa2d/gr007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d60/11315089/30e0eb894b35/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d60/11315089/8b4f9e5af705/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d60/11315089/827d23ae95d7/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d60/11315089/4a8fcbe7c820/gr004.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4d60/11315089/23172511fa2d/gr007.jpg

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H∞ state estimation for complex networks with uncertain inner coupling and incomplete measurements.
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