IEEE Trans Cybern. 2015 Dec;45(12):2914-24. doi: 10.1109/TCYB.2015.2389267. Epub 2015 Jan 21.
In this paper, the problem of H∞ filter design for nonlinear interconnected systems with time-varying delays through Takagi-Sugeno fuzzy models is revisited. Based on the fuzzy line-integral Lyapunov function approach and the reciprocally convex inequality, a delay-dependent decentralized H∞ filter is designed by guaranteeing the asymptotic stability and a prescribed H∞ performance index for the overall filter error system. A new sufficient condition for the existence of such a filter is established in terms of linear matrix inequalities. The present method provides improvements and produces better results than existing ones in the literature. Two examples are given to show the advantages and effectiveness of the proposed results.
本文重新研究了通过 Takagi-Sugeno 模糊模型设计时变时滞非线性互联系统的 H∞滤波器问题。基于模糊线积分 Lyapunov 函数方法和互凸不等式，通过保证整体滤波器误差系统的渐近稳定性和给定的 H∞性能指标，设计了一个时滞相关的分散 H∞滤波器。以线性矩阵不等式的形式给出了该滤波器存在的一个新的充分条件。该方法在文献中已有方法的基础上进行了改进，并取得了更好的结果。通过两个实例说明了所提出结果的优点和有效性。
