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In this paper, the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with multiple time-delays is investigated. By utilizing the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a novel delay-dependent absolutely stable condition is derived. In addition, by using Simulink toolbox in MATLAB, a simulation example is provided to demonstrate...
This paper deals with the problem of synchronization of two hyperchaotic Chen systems subject to parameter uncertainties. To investigate the stability of the error dynamical system and facilitate the design of the controller, T-S fuzzy model is employed to represent the dynamics of the hyperchaotic system and the parallel distributed compensation (PDC) technique is applied to design the fuzzy state...
The application of a novel Takagi-Sugeno (TS) fuzzy-model-based approach to prohibit the onset of subharmonic instabilities in dc-dc power electronic converters is presented in this paper. The use of a model-based fuzzy approach derived from an average mathematical model to control the nonlinearities in power electronic converters has been reported in the literature, but this is known to act as a...
In this paper, a state feedback controller is designed for a non-linear system using a technique in which, the fuzzy model consists of a set of linear fuzzy local models, combined to get overall fuzzy inference mechanism. This approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno (T-S) fuzzy models to approximate nonlinear systems. A fuzzy inference mechanism is designed...
A class of non linear discrete time models with periodic parameters is considered in a Takagi-Sugeno (TS) form. The main objective of this paper is to show the potential improvement in the area of nonlinear periodic system control and observation using TS models. In order to achieve this goal, two problems are developed in this paper. The first part is dedicated to the design of a periodic TS fuzzy...
In this paper a new approach for stability analysis of fuzzy impulsive controller is proposed in which the fuzzy system is presented by Takagi-Sugeno model. An affine impulsive controller has been considered and based on Lyapunov criterion, some sufficient conditions are derived to guarantee asymptotically stability of fuzzy affine impulsive controller. These conditions are shown in term of some matrix...
This study presents an H-infinite controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on...
The continuous SISO nonlinear system is presented by the Takgi-Sugeno type fuzzy state model. The strategy of reference model direct adaptive control theory is presented then two adaptive fuzzy adjustment algorithms have been proposed. The control law which includes two terms is computed at each sampling time. The single synchronous generator coupled to the infinite-bus power system is used to check...
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