H∞ model reduction for T‐S fuzzy systems over finite frequency ranges

El-Amrani, Abderrahim; Boukili, Bensalem; Hmamed, Abdelaziz

doi:10.1002/oca.2422

Cited by 24 publications

(5 citation statements)

References 28 publications

(46 reference statements)

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“…We propose in Table 1 shows the values of γ obtained in different frequency ranges. We can see from Table 1 shows the values of γ obtained with the approaches existing in [5], [22], [23] and Theorem 3. We can see that the proposed method provides better results than the existing ones.…”

Section: Numerical Examplementioning

confidence: 99%

Model reduction design for continuous systems with finite frequency specifications

Koumir

El-Amrani

Boumhidi

2021

IJECE

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This paper is concerned with the problem of model reduction design for continuous systems in Takagi-Sugeno fuzzy model. Through the defined FF H∞ gain performance, sufficient conditions are derived to design model reduction and to assure the fuzzy error system to be asymptotically stable with a FF H∞ gain performance index. The explicit conditions of fuzzy model reduction are developed by solving linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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Section: Numerical Examplementioning

confidence: 99%

Model reduction design for continuous systems with finite frequency specifications

Koumir

El-Amrani

Boumhidi

2021

IJECE

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“…where The satellite attitude control system (equation ( 6)) is a nonlinear system, whereas the parity equation is suitable only for linear systems. El-Amrani et al 19 introduced the T-S model to describe a nonlinear system to improve diagnostic accuracy.…”

Section: And the Measurement Equation Ismentioning

confidence: 99%

Fault diagnosis method for closed-loop satellite attitude control systems based on a fuzzy parity equation

Song

Han

Zhang

et al. 2018

International Journal of Distributed Sensor Networks

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This article proposes a fault diagnosis method for closed-loop satellite attitude control systems based on a fuzzy model and parity equation. The fault in a closed-loop system is propagated with the feedback loop, increasing the difficulty of fault diagnosis and isolation. The study uses a Takagi-Sugeno (T-S) fuzzy model and parity equation to diagnose and isolate a fault in a closed-loop satellite attitude control system. A fully decoupled parity equation is designed for the closedloop satellite attitude control system to generate a residual that is sensitive only to a specific actuator and sensor. A T-S fuzzy model is used to describe the nonlinear closed-loop satellite attitude control system. With the combination of the T-S fuzzy model and fully decoupled parity equation, the fuzzy parity equation (FPE) of the nonlinear system can be obtained. Then this article uses a parameter estimator based on a Kalman filter to identify deviations and scale factor changes from information contained in the residuals generated by the FPE. The actuator and sensor fault detection and isolation simulation of the three-axis stable satellite attitude control system is provided for illustration.

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“…However, most practical industrial applications work in a FF domain. So far, a few applications have been made [14,15,16,17,18,19]. Thus, for this we will present new approaches to solve these problems.…”

Section: Introductionmentioning

confidence: 99%