In this paper, the problems of robust stabilization and H∞ control for uncertain stochastic systems with multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov-Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and H∞ control scheme are presented in t...

This work presents an observer-based adaptive control approach for time-delay chaotic systems with uncertainty. The chaotic system is initially expressed with the Takagi-Sugeno (T-S) fuzzy model. The design of the adaptive fuzzy observer is introduced based on the assumptions of chaotic system properties. Next, the design principle is applied to stabilization and tracking problems. Based on Lya...

Abstract: This paper deals with the problems of robust control for uncertain Takagi-Sugeno (T-S) fuzzy systems with both distributed delays and input delays. The uncertainties are time-varying but norm-bounded. The purpose is to design state feedback fuzzy controllers such that the resulting closed-loop system is robustly stable. Sufficient conditions in the form of linear matrix inequality (LM...

In this article, we investigate the parabolic partial differential equations (PDEs) systems with Neumann boundary conditions via Takagi–Sugeno (T–S) fuzzy model. On basis of obtained T–S PDE model, a novel state controller which is associated position and mean value coefficient matrix derived through theorem integral designed to analyze asymptotic stability system. Without sampling nonlinear pa...

in this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the takagi-sugeno (t-s) fuzzy models is considered. a novel linear matrix inequality (lmi)-based stability criterion is obtained by using lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

Multimodel approaches are widely used with linear submodels, but border areas around submodels are problematic. Special cases of fuzzy linguistic equation models, which can be understood as linguistic Takagi-Sugeno (LTS) type fuzzy models, can be used to solve these problems in many cases. These models use a special nonlinear scaling approach for both inputs and outputs. The LTS models are robu...

This study addresses the issue of robust dynamic output feedback control (DOF) for polynomial Takagi–Sugeno (T–S) fuzzy systems in Finite Frequency (FF) domain. Sufficient conditions designing DOF are derived terms sum squares (SOS). The proposed strategy is built FF domain to reduce conservation-generated by techniques established whole frequency In addition, there no transformation matrices o...

This paper proposes a new fuzzy adaptive exponential synchronization controller for uncertain time-delayed chaotic systems based on Takagi-Sugeno T-S fuzzy model. This synchronization controller is designed based on Lyapunov-Krasovskii stability theory, linear matrix inequality LMI , and Jesen’s inequality. An analytic expression of the controller with its adaptive laws of parameters is shown. ...

The main goal of this work is to formalize the use of fuzzy systems represented by Takagi Sugeno form so that the use of membership functions is well understood when designing the rules It also aimed to apply these ideas later when designing fuzzy controllers where dynamic models are used First static mod els are introduced Second some useful de nitions are presented Third the main prop erties ...