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A new method of fault estimation and tolerant control for fuzzy systems against time-varying delay
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.nahs.2020.100942
Shaoxin Sun , Yingchun Wang , Huaguang Zhang , Xiangpeng Xie

Abstract In the study, the issues of observer-based fault estimation (FE) as well as active fault-tolerant control (FTC) are considered based on a series of Takagi–Sugeno (T–S) fuzzy models against time-varying delay. Utilizing these obtained ( k − 1 )th messages, a new k -step T–S fuzzy fast adaptive FE method is suggested to construct this observer. And a full-order controller is suggested to make the closed-loop system stable by compensating this fault effect. In contrast to the existing study works, the addressed controller can be carried out in a wider application scope. A fuzzy Lyapunov–Krasovskii functional method is utilized to analyze the stability of the closed-loop system. Meanwhile, sufficient stability conditions are proposed through linear matrix inequalities (LMIs) calculated by Matlab toolbox. Finally, the merits of this suggested approach are demonstrated via two simulation examples.

中文翻译:

一种抗时变时滞的模糊系统故障估计与容错控制新方法

摘要 在研究中,基于一系列针对时变延迟的 Takagi-Sugeno (T-S) 模糊模型,考虑了基于观测器的故障估计 (FE) 以及主动容错控制 (FTC) 问题。利用这些获得的第 (k-1) 条消息,建议使用一种新的 k 步 T-S 模糊快速自适应有限元方法来构建该观测器。并建议使用全阶控制器通过补偿这种故障影响使闭环系统稳定。与现有的研究工作相比,所提出的控制器可以在更广泛的应用范围内进行。模糊Lyapunov-Krasovskii泛函方法用于分析闭环系统的稳定性。同时,通过Matlab工具箱计算的线性矩阵不等式(LMI),提出了充分的稳定性条件。最后,
更新日期:2020-11-01
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