School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, PR China.
School of Electrical Engineering and Automation, Qufu Normal University, Rizhao, 276826, Shandong, PR China.
ISA Trans. 2018 Sep;80:22-34. doi: 10.1016/j.isatra.2018.05.014. Epub 2018 Jun 19.
This paper deals with the fuzzy filtering problem for a class of nonlinear time-delay systems described by T-S fuzzy models. Different from the existing schemes in the literature, this paper aims to solve the fuzzy filtering problem by considering the H, L - L and dissipative performance constraints in a unified way. To achieve this purpose, the recently proposed notion of extended dissipativity is applied, which provides an inequality covering the well-known H, L - L and dissipative performances. Another purpose of this paper is to design filters involving communication delays. Such filters have a more general form than the delay-free filters that have been largely considered in the traditional studies. In order to design the fuzzy filters under consideration, a novel fuzzy Lyapunov-Krasovskii functional is employed, and delay-dependent conditions for stability and performance analysis of the filtering error system are obtained. Then, LMI-based conditions for the existence of the desired filters are presented. The filter parameters can be obtained by solving the presented LMIs. Finally, the effectiveness of the proposed method is substantiated with an illustrative example.
本文针对一类 T-S 模糊模型描述的非线性时滞系统的模糊滤波问题进行了研究。与现有文献中的方案不同，本文旨在通过统一考虑 H、L-L 和耗散性能约束来解决模糊滤波问题。为此，应用了最近提出的扩展耗散性概念，该概念提供了一个包含著名的 H、L-L 和耗散性能的不等式。本文的另一个目的是设计涉及通信延迟的滤波器。与传统研究中大量考虑的无延迟滤波器相比，这种滤波器具有更一般的形式。为了设计所考虑的模糊滤波器，采用了一种新的模糊李雅普诺夫-克拉索夫斯基（Lyapunov-Krasovskii）泛函，并获得了滤波误差系统稳定性和性能分析的时滞相关条件。然后，提出了基于 LMI 的满足期望滤波器存在性的条件。可以通过求解所提出的 LMI 来获得滤波器参数。最后，通过一个实例验证了所提出方法的有效性。
