In this paper, we introduce a robust state feedback controller design using Linear Matrix Inequalities (LMIs) and guaranteed cost approach for Takagi-Sugeno fuzzy systems. The purpose on this work is to establish a systematic method to design controllers for a class of uncertain linear and non linear systems. Our approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno ...

The problem of delay-dependent condition for a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay and time-variant uncertainties is investigated in this paper, which is different from existing ones. We use T-S fuzzy models to describe Lurie system in the form of a weighted sum of some simple linear subsystems, and a new delay-dependent absolute stability criterion for ...

In this paper, we present two results concerning the fuzzy modeling and control of nonlinear systems. The first result is on the approximation of smooth nonlinear dynamical systems using linear Takagi-Sugeno fuzzy models. The second result is on the approximation of smooth nonlinear state-feedback controllers using the the so-called parallel distributed compensation (PDC) controller. Both resul...

The paper presents development and tuning tehniques and solutions for PI and PID controllers, and Takagi-Sugeno fuzzy controllers with PI and PID type dynamics meant for applications which can be characterised with low order benchmark type modeles (for example electrical and hydraulic driving and positioning systems).Two type of plants and two control structures with homogenous and with non-hom...

In this paper, we propose a new receding horizon disturbance attenuator (RHDA) for Takagi-Sugeno (T-S) fuzzy switched Hopfield neural networks with external disturbance. First, a new set of linear matrix inequality (LMI) conditions is proposed for the finite terminal weighting matrix of the receding horizon cost function with a cross term. Second, under this condition, we show that the proposed...

When controlling Takagi-Sugeno fuzzy systems, verification of some sector conditions is usually assumed. However, setpoint changes may alter the sector bounds. Alternatively, setpoint changes may be considered as an offset addition in many cases, and hence affine Takagi-Sugeno models may be better suited to this problem. This work discusses a nonconstant change of variable in order to carry out...

A bst ract : Based on the T-S model ,the output regulation of nonlinear singularly perturbed systems via state feedback is dis2 cussed. It is shown that , under standard assumptions ,this problem is solvable if and only if certain linear matrix equations are solv2 able. Once these equations are solvable , the state feedback regulator can easily be constructed. Keywor ds : Nonlinear systems ; Ou...

In this paper, we consider the stability analysis for uncertain systems with time-delay when the states are unmeasurable. Takagi-Sugeno (T-S) fuzzy model is used to describe this kind of systems. Based on Lyapunov approach, new delay-independent stability conditions are derived, then a design method of the observer-based output feedback controller is proposed. All the results are presented in t...

The paper offers evolving Takagi–Sugeno (T–S) fuzzy models for a nonlinear benchmark represented by the pendulum-crane system and focused on the dynamics of pendulum angular position behavior. The rule bases and parameters of T–S fuzzy models are continuously evolved by an online identification algorithm in terms of computing the potentials of new data points. Accepting the pendulum angle as mo...

Abstract A novel adaptive fuzzy controller for a class of uncertain multivariable nonlinear systems with time delays is proposed in this paper. By combining fuzzy Takagi-Sugeno (T-S) models and fuzzy logic systems, the modeling error and the uncertainties are not required to satisfy the constraint conditions. In the meantime, fuzzy T-S models are used to approximate the nonlinear systems and fu...