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传感器饱和的非线性网络化系统模糊\begin{document}$H_{\infty}$\end{document}滤波
引用本文:李秀英,尹帅,孙书利.传感器饱和的非线性网络化系统模糊\begin{document}$H_{\infty}$\end{document}滤波[J].自动化学报,2021,47(5):1149-1158.
作者姓名:李秀英  尹帅  孙书利
作者单位:1.黑龙江大学电子工程学院自动化系 哈尔滨 150080
基金项目:国家自然科学基金61503126黑龙江省自然科学基金F2018024黑龙江省高等学校基本科研业务费黑龙江大学专项基金RCYJTD201806
摘    要:研究了基于T-S模糊模型描述的非线性网络化系统$H_{\infty}$滤波器设计问题.由于网络诱导时滞的存在, 使得一个采样周期内, 到达接收端的数据可能是一个或多个, 也可能没有任何数据.提出传感器冗余策略解决由于饱和而引起的传感器件失效的问题.为降低结果的保守性, 选择模糊规则依赖的Lyapunov函数对滤波误差系统进行稳定性分析, 给出使滤波误差系统均方渐近稳定且具有指定$H_{\infty}$性能的充分条件, 滤波器参数通过求解一组线性矩阵不等式(Linear matrix inequalities, LMIs)得到.仿真研究结果表明算法的有效性.

关 键 词:网络系统    T-S模糊模型    传感器饱和    H滤波    丢包    时延
收稿时间:2018-11-21

Fuzzy $H_{\infty}$ Filtering for Nonlinear Networked Systems Subject to Sensor Saturations
Affiliation:1.Department of Automation, School of Electronic Engineering, Heilongjiang University, Harbin 1500802.School of Electrical and Electronic Engineering, Shanghai Institute of Technology, Shanghai 201418
Abstract:The $H_{\infty}$ filter design problem is investigated for T-S fuzzy-model-based nonlinear networked systems. The existing of transmission delay makes that there may be one or multiple data, even no data arriving at the receiver side within one sampling period. A redundant strategy is proposed to solve the problem of sensor failure caused by sensor saturation. In order to reduce the conservatism, the fuzzy-dependent-basis Lyapunov function is chosen to analyze the stability of filtering error systems and a sufficient condition is given to make the filtering error system mean-square asymptotically stable with a specified $H_{\infty}$ performance. The parameters of the filter are obtained by solving a set of linear matrix inequalities (LMIs). The simulation results illustrate the effectiveness of the algorithm.
Keywords:
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