This paper proposes a decentralized $H_\infty$ sampled-data fuzzy filter design for nonlinear interconnected systems composed of multiple subsystems with uncertain interconnections and variable sampling intervals. The interconnected system and the decentralized filter are modeled using Takagi–Sugeno fuzzy systems. To derive the filter-design conditions, the estimation error dynamics are modeled, and the $H_\infty$ filter performance inequality is defined. The filter performance inequality is aimed at minimizing the ratio of the estimation error to the sum of the norm of the disturbance and oscillating system. The sufficient conditions for the filter design are derived using the Wirtinger-based integral inequality and expressed in the form of linear matrix inequalities. Finally, the performance of the proposed filter-design techniques is demonstrated through two simulation examples.

中文翻译：

---

用于不确定互连的非线性互连振荡系统的分散 $H_\infty$ 采样数据模糊滤波器


本文针对由多个具有不确定互连和可变采样间隔的子系统组成的非线性互连系统，提出了一种分散的$H_\infty$采样数据模糊滤波器设计。互连系统和分散滤波器使用 Takagi-Sugeno 模糊系统进行建模。为了导出滤波器设计条件，对估计误差动态进行建模，并定义 $H_\infty$ 滤波器性能不等式。滤波器性能不等式的目的是最小化估计误差与扰动和振荡系统的范数之和的比率。使用基于 Wirtinger 的积分不等式导出滤波器设计的充分条件，并以线性矩阵不等式的形式表示。最后，通过两个仿真示例演示了所提出的滤波器设计技术的性能。