Fuzzy-Model-Based Finite Frequency Fault Detection Filtering Design for Two-Dimensional Nonlinear Systems

IF 15.3 1区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Ieee-Caa Journal of Automatica Sinica Pub Date : 2024-09-04 DOI:10.1109/JAS.2024.124452
Meng Wang;Huaicheng Yan;Jianbin Qiu;Wenqiang Ji
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Abstract

This article studies the fault detection filtering design problem for Roesser type two-dimensional (2-D) nonlinear systems described by uncertain 2-D Takagi-Sugeno (T-S) fuzzy models. Firstly, fuzzy Lyapunov functions are constructed and the 2-D Fourier transform is exploited, based on which a finite frequency fault detection filtering design method is proposed such that a residual signal is generated with robustness to external disturbances and sensitivity to faults. It has been shown that the utilization of available frequency spectrum information of faults and disturbances makes the proposed filtering design method more general and less conservative compared with a conventional non-frequency based filtering design approach. Then, with the proposed evaluation function and its threshold, a novel mixed finite frequency $\mathcal{H}_{\infty}/\mathcal{H}_{-}$ fault detection algorithm is developed, based on which the fault can be immediately detected once the evaluation function exceeds the threshold. Finally, it is verified with simulation studies that the proposed method is effective and less conservative than conventional non-frequency and/or common Lyapunov function based filtering design methods.
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基于模糊模型的二维非线性系统有限频率故障检测滤波设计
本文研究了由不确定的二维高木-菅野(T-S)模糊模型描述的 Roesser 型二维(2-D)非线性系统的故障检测滤波设计问题。首先,构建了模糊 Lyapunov 函数,并利用二维傅立叶变换,在此基础上提出了一种有限频率故障检测滤波设计方法,从而产生对外部干扰具有鲁棒性且对故障敏感的残差信号。研究表明,与传统的非基于频率的滤波设计方法相比,利用故障和干扰的可用频谱信息使得所提出的滤波设计方法更具通用性,且不那么保守。然后,利用所提出的评估函数及其阈值,开发了一种新颖的混合有限频率 $\mathcal{H}_\{infty}/\mathcal{H}_{-}$ 故障检测算法,基于该算法,一旦评估函数超过阈值,就能立即检测到故障。最后,通过仿真研究验证了所提出的方法比传统的基于非频率和/或普通 Lyapunov 函数的滤波设计方法更有效、更经济。
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来源期刊
Ieee-Caa Journal of Automatica Sinica
Ieee-Caa Journal of Automatica Sinica Engineering-Control and Systems Engineering
CiteScore
23.50
自引率
11.00%
发文量
880
期刊介绍: The IEEE/CAA Journal of Automatica Sinica is a reputable journal that publishes high-quality papers in English on original theoretical/experimental research and development in the field of automation. The journal covers a wide range of topics including automatic control, artificial intelligence and intelligent control, systems theory and engineering, pattern recognition and intelligent systems, automation engineering and applications, information processing and information systems, network-based automation, robotics, sensing and measurement, and navigation, guidance, and control. Additionally, the journal is abstracted/indexed in several prominent databases including SCIE (Science Citation Index Expanded), EI (Engineering Index), Inspec, Scopus, SCImago, DBLP, CNKI (China National Knowledge Infrastructure), CSCD (Chinese Science Citation Database), and IEEE Xplore.
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