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We provide a less conservative approach for the stability analysis of Takagi–Sugeno fuzzy systems via multiple Lyapunov function with an integral of the membership function. In many papers, fuzzy Lyapunov function and the stability of fuzzy systems have been discussed. Since they assumed the upper/lower bounds of the derivative of the membership function derived from fuzzy Lyapunov function, they ...Show More
This paper tackles the stabilization of Takagi Sugeno (TS) fuzzy systems with time delay. In this work, we will use a weighted function to bound the time-derivative of membership functions. In addition, we will introduce slack matrices to obtain more flexible stability conditions from a computational point of view. Then, the stability approach will be extended to design a control that ensure the g...Show More
This paper introduces a new static output feedback controller design method for continuous-time Takagi-Sugeno fuzzy systems, which can represent a wide class of nonlinear systems. Although many papers discuss state feedback controller design for fuzzy sytems, a fewer number of papers consider an output feedback controller design due to its difficulty. In this paper, our target is to propose an out...Show More
In this paper, the design of an impulsive observer that estimates the state and the unknown inputs in a predetermined finite time is proposed for nonlinear systems represented by Takagi Sugeno models. The stability conditions are formulated under LMI formalism. An pplication on a chaotic system is performed to show the effectiveness of the proposed observer.Show More
Induction motors are widely used electrical machine in different kind of industry due to its simplicity, ruggedness, versatility, reliability, low cost, quiet operation, less maintenance, high performance and longevity. This paper presents Takagi-Sugeno (T-S) fuzzy logic based speed control of an induction motor. Constant voltage and frequency ratio-based control or scaler control is used to maint...Show More
This paper is concerned with the problem of designing fuzzy controller for Takagi-Sugeno fuzzy models. Many results and improvements regarding stabilization issues have been proposed for Takagi-Sugeno fuzzy system. In the literature, stabilization conditions for Takagi-Sugeno fuzzy system has been improved and its stabilization area has been expanded. However, there is still room to reduce the con...Show More
This paper presents the stabilization using dynamic output feedback controller for Takagi-Sugeno fuzzy systems that can represent nonlinear systems accurately. Many different stabilization conditions by state feedback control have been obtained in the literature. However, few papers have considered stabilizing output feedback controllers, which is useful for practical systems, of Takagi-Sugeno fuz...Show More
This paper presents the active and reactive power control of the Doubly Fed Induction Generator employing Fuzzy Logic for a wind power generation system. The proposed controller is a Fuzzy Logic Controller Takagi-Sugeno type which determines the rotor voltage by a set of rules base defined by a linear combination of the rotor current's error membership sets, reducing the structure complexity of th...Show More
Based on fuzzy Lyapunov function, this paper propose relaxed approaches in control design for uncertain Takagi-Sugeno (T-S) systems. A linear upper bound of time-derivative of membership functions will be used. Consequently, relaxed non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize T-S systems. Then, uncertainties which are bounded in...Show More
This paper is interested in the exploration of the asymptotic behavior of a class of uncertain T-S fuzzy systems. We suppose that the uncertainties are uniformly bounded. In order to show that the global uniform stability of the closed loop system, common quadratic function (CQLF) as well as parallel distributed compensation (PDC) controller techniques are used in this paper. To validate the propo...Show More
This paper deals with stability of time delayed Takagi-Sugeno (TS) fuzzy systems. By considering a linear function which bound the derivative of fuzzy weighting functions, a relaxed stability method is established. A new stability approach is derived for time delayed TS systems by using integral Lyapunov function. To show the advantages of the proposed approaches, an illustrative example is given.Show More
The design of H∞ observer-based controllers for nonlinear systems represented by Takagi-Sugeno models in continuous time is studied here, in the presence of parameter uncertainties and external disturbances. Conditions are developed in terms of Linear Matrix Inequalities (LMIs), thanks to a change of variables to avoid bilinear terms. Thanks to this, observer and controller gains can be deduced in...Show More
This paper is focussed on the design issue of eventtriggered non-fragile state estimator towards interval type-2 fuzzy models confronted with bounded disturbances. The interval type- 2 Takagi-Sugeno fuzzy system model is employed to characterize the modeling uncertainties of complex nonlinear systems. A non-fragile estimator design scheme utilizing norm-bounded gain uncertainty is proposed to tack...Show More
This paper describes the application of Takagi-Sugeno (TS)-type fuzzy logic controller to a three-phase shunt active power filter for the power-quality improvement and reactive power compensation required by a nonlinear load. The advantage of fuzzy logic control is that it does not require a mathematical model of the system. The application of the Mamdani-type fuzzy logic controller to a three-pha...Show More
This paper deals with the design of a new observer synthesis for discrete Takagi-Sugeno (T-S) fuzzy models. It is well established that quadratic synthesis for discrete T-S models and/or linear parameter-varying systems can be outperformed easily via nonquadratic syntheses. Several Lyapunov functions can be used. Nevertheless, this paper shows that with a “small” change in the initial Lyapunov fun...Show More
The positive impact of solar generation in the current power systems is growing rapidly due to energy increasing demands, depletion of fossil fuel sources and the environmental requirements of pollution reduction. Maximum Power Point Tracking (MPPT) methods are integrated with Photo Voltaic (PV) systems in order to maximise the energy obtained under every weather conditions and deal with the assoc...Show More
We suggested new type of fuzzy inference systems (FIS) based on Takagi-Sugeno. We called it enhanced fuzzy regression (EFR). New FIS uses fuzzy coefficients in right parts of the fuzzy rules. Fuzzy approximation theorem has been proved and learning procedure has been suggested for the EFR. We compared EFR with Mamdani FIS and concluded that EFR can be more effective for fuzzy control.Show More
In this paper the analysis, design and simulation of a Takagi-Sugeno model for DC-DC converters, the buck-boost as a particular case study, are presented in order to analyze their performance compared to classical models of this converter. The model used for the Takagi-Sugeno fuzzy representation is the reduced nonlinear model. the Takagi-Sugeno fuzzy model is defined by eight rules and three para...Show More
This paper proposes structures of Takagi-Sugeno fuzzy (TSF) controllers along with approaches to design these structures dedicated to the azimuth and pitch position control of twin rotor aerodynamic systems (TRASs). The azimuth and the pitch positions are separately controlled using Single Input-Single Output (SISO) control system structures. Two Proportional-Integral-Derivative (PID) TSF controll...Show More
In this paper, we introduce a simple linear Takagi - Sugeno (T-S) fuzzy rules, and derive a mathematical model of Takagi-Sugeno PI/PD controller using at least three trapezoidal fuzzy sets on each scaled input variable, minimum AND operator, bounded sum OR operator, and centre of gravity defuzzification method. We show the superiority of this model over the existing model in the literature. We rev...Show More
This article deals with the tracking of states and faults for nonlinear systems modeled using the Takagi Sugeno approach. An artificial neural network with unknown inputs is used for the purpose of tracking the system state and faults affecting the system. Firstly, the problem of state tracking is considered. After that, the proposed approach is extended to estimate actuator faults. The proposed m...Show More
The paper presents the design of a new reduced-order multiple observer (ROMO) for state estimation of unknown input Takagi-Sugeno (T-S) models; this is only the second reduced-order multiple observer ever designed for such systems. The proposed observer is obtained by applying the classical methods of reduced-order observers' design for linear multivariable systems with unknown inputs to the case ...Show More
This document presents an Adaptive Sliding Mode Controller fusing TS fuzzy systems and Smith Predictor concepts. A fuzzy multimodel of the plant to overcome the issues due to variable parameters is introduced. A pH neutralization reactor can be locally modeled using empirical models represented, around different operating points, as FOPDT models. Several set points and disturbances are used for te...Show More
This paper focused on the stability analysis criteria for Takagi-Sugeno (T-S) fuzzy systems with two additive time-varying delay. By constructing an appropriate Lyapunov-Krasovskii functional using two additive delay components and combined with the state vector augmentation. Then, by employing the Finsler's lemma and Seuret-Wirtinger's integral inequality, some less conservative delay-dependent s...Show More
The use of the Dual Active Bridge (DAB) DC-DC converter has been increasing in recent years in several applications. This paper proposes the application of a nonlinear control strategy for the DAB converter, which consists of switching linear controllers based on a switching function. In order to achieve this, the Takagi-Sugeno (T-S) fuzzy model of the DAB converter is realised as a convex combina...Show More