This paper deals with the extension of the positive invariance approach to Takagi-Sugeno fuzzy systems. The saturations on the control are taken into account during the design phase. This attempt is firstly applied to a class of fuzzy systems. Sufficient conditions of asymptotic stability are given ensuring in the same time that the global control is always admissible inside a common polyhedral...

This paper proposes an identification scheme for a complex liquid effluent incinerator process. This scheme is developed to obtain a MIMO (Multiple Input Single Output) TS (Takagi-Sugeno) fuzzy model where the modified Gath Geva clustering algorithm is used to determine the antecedent part as the consequent parameters are estimated by RLS (Recursive Least Square) algorithm.

A through wall image enhancement scheme based on Takagi-Sugeno fuzzy system and principal component analysis is proposed. The scheme incorporates spectral properties of image and textural properties of eigen components of image to assign weights. The scheme overcomes the empirical setting of inference engine and output membership functions. Simulation demonstrates the effectiveness of proposed ...

This paper describes optimization of the Takagi-Sugeno fuzzy model. To prove the existence of optimal control, we apply compactness of a set of membership functions in L space and continuity of approximate reasoning and show the existence of a pair of membership functions which minimize the quadratic performance function.

The paper presents IF-inference systems of Takagi-Sugeno type. It is based on intuitionistic fuzzy sets (IF-sets), introduced by K.T. Atanassov, fuzzy t-norm and t-conorm, intuitionistic fuzzy t-norm and t-conorm. Thus, an IFinference system is developed for ozone time series prediction. Finally, we compare the results of the IF-inference systems across various operators.

Stability analysis and optimality are important in any systems. In the paper, “Optimal Fuzzy Controller Design: Local Concept Approach,” optimal fuzzy controller is design for Takagi–Sugeno fuzzy model. Unfortunately, it seems that some errors are happen and no simple correction can be done. In this paper, we show that some errors exit in the aforementioned paper with simple and clear examples.

This paper considers the problem of designing static output feedback controllers for nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy models. Based on linear matrix inequality technique, a new method is developed for designing fuzzy stabilizing controllers via static output feedback. Furthermore, the result is also extended to H∞ control. Examples are given to illustrate the effective...

This paper considers the robust stabilization problem for Takagi-Sugeno fuzzy systems with time-varying delays subject to input saturation. The purpose is the design of dynamic anti-windup fuzzy controllers ensuring convergence of all admissible initial states within the domain of attraction. Delay-dependent conditions for the existence of solutions to this problem are obtained. A simulation ex...

This paper considers the stability analysis of periodic Takagi-Sugeno fuzzy models. For this we use a switching Lyapunov function defined at the time instants when the subsystems switch. Using the developed conditions we are able to prove the stability of periodic TS systems where the local models or even the subsystems are unstable. The application of the conditions is illustrated on numerical...

In this paper, we presented a sufficient condition on the frequency domain for the absolutely stable analysis of the Takagi-Sugeno (T-S)fuzzy control system, based on the Popov’s criterion. we use some numerical examples to illustrate the efficiency of frequency domain-based condition.