H_∞ FAULT DETECTION AND CONTROL FOR CONTINUOUS-TIME TAKAGI-SUGENO FUZZY SYSTEMS

KHADIJA NAAMANE; OUARDA LAMRABET; EL HOUSSAINE TISSIR

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H_∞ FAULT DETECTION AND CONTROL FOR CONTINUOUS-TIME TAKAGI-SUGENO FUZZY SYSTEMS

机译：用于连续时间Takagi-Sugeno模糊系统的故障检测与控制

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This paper studies the fault detection and control problem for nonlinear continuous-time fuzzy systems. The nonlinear control systems are modeled through a Takagi-Sugeno model. The main idea focuses on designing a fault detection observer and controller such that the impact of the unknown inputs and the faults on the system is minimized in the sense of the H_∞ norm. To develop sufficient condition of exponential stability, we design an observer to construct the residual signal and the controller by using the Lyapunov function and the H_∞ performance. The results are established in terms of linear matrix inequalities (LMIs). Finally, simulations results are provided to verify the effectiveness of the presented scheme.

机译：本文研究了非线性连续时间模糊系统的故障检测和控制问题。非线性控制系统通过Takagi-Sugeno模型进行建模。主要思想侧重于设计故障检测观察者和控制器，使得未知输入的影响和系统上的故障在H_‖规范的意义上最小化。为了开发足够的指数稳定条件，我们设计了一种观察者，通过使用Lyapunov函数和H_‖性能来构造残差信号和控制器。结果是以线性矩阵不等式（LMI）建立的。最后，提供了模拟结果以验证所提出的方案的有效性。

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来源
《International Journal of Innovative Computing Information and Control》 |2020年第5期|1697-1710|共14页
作者
KHADIJA NAAMANE; OUARDA LAMRABET; EL HOUSSAINE TISSIR;
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作者单位

LISAC Department of Physics Faculty of Sciences Dhar el Mahraz University Sidi Mohammed Ben Abdellah B.P. 1796 Fez-Atlas Fez Morocco;

LISAC Department of Physics Faculty of Sciences Dhar el Mahraz University Sidi Mohammed Ben Abdellah B.P. 1796 Fez-Atlas Fez Morocco;

LISAC Department of Physics Faculty of Sciences Dhar el Mahraz University Sidi Mohammed Ben Abdellah B.P. 1796 Fez-Atlas Fez Morocco;

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正文语种 eng
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关键词
Fault detection; Control; Lyapunov function; Linear matrix inequality; Takagi-Sugeno fuzzy model;

机译：故障检测;控制;Lyapunov功能;线性矩阵不等式;Takagi-sugeno模糊模型;

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专利

1. Multi-objective H-/H_∞ fault detection observer design for Takagi-Sugeno fuzzy systems with unmeasurable premise variables: descriptor approach [J] . S. Aouaouda, M. Chadli, V. Cocquempot, International Journal of Adaptive Control and Signal Processing . 2013,第12期

机译：具有不可测前提变量的Takagi-Sugeno模糊系统的多目标H- /H_∞故障检测观测器设计：描述符方法
2. Fault-Distribution Dependent Reliable H_∞ Control for Takagi-Sugeno Fuzzy Systems [J] . R. Sakthivel, P. Vadivel, K. Mathiyalagan, Journal of Dynamic Systems, Measurement, and Control . 2014,第2期

机译：Takagi-Sugeno模糊系统的故障分布相关可靠H_∞控制
3. H_-/H_∞ fault detection filter design for discrete-time Takagi-Sugeno fuzzy system [J] . Mohammed Chadli, Ali Abdo, Steven X. Ding Automatica . 2013,第7期

机译：离散Takagi-Sugeno模糊系统的H _- /H_∞故障检测滤波器设计
4. Robust H_∞ Fault-Tolerant Control for Networked Control System Based on Takagi-Sugeno Fuzzy Model [C] . Wei Li, Dongnian Jiang International Conference on Intelligent Computing and Intelligent Systems . 2009

机译：基于Takagi-sugeno模糊模型的网络控制系统鲁棒H_∞容错控制
5. Performance analysis and control design for Takagi-Sugeno fuzzy systems: Matched and mismatched case. [D] . Lee, Taih-Shyun. 1997

机译：Takagi-Sugeno模糊系统的性能分析和控制设计：匹配和不匹配的情况。
6. Towards Simultaneous Actuator and Sensor Faults Estimation for a Class of Takagi-Sugeno Fuzzy Systems: A Twin-Rotor System Application [O] . Marcin Pazera, Marcin Witczak, Norbert Kukurowski, 2020

机译：一类Takagi-Sugeno模糊系统的同时执行器和传感器故障估计：双转子系统应用
7. Controller Design for Continuous-Time Takagi-Sugeno Fuzzy Systems with Fuzzy Lyapunov Functions : LMI Approach [O] . Ho-Jun Kim, Young-Hoon Joo, Jin-Bae Park 2012

机译：具有模糊Lyapunov函数的连续时间Takagi-sugeno模糊系统的控制器设计：LmI方法

H_∞ FAULT DETECTION AND CONTROL FOR CONTINUOUS-TIME TAKAGI-SUGENO FUZZY SYSTEMS

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