In this paper, the mathematical properties of the proportional TakagiSugeno (T-S) fuzzy controller are first investigated. Based on these properties, the L2stability of the fuzzy control systems, in which the proportional T-S fuzzy controller is utilized, is analyzed by using the well-known circle criterion. A sufficient condition with elegant graphical explanation in the frequency domain is ne...

we study interior operators and interior structures in a fuzzy setting.we investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.

Abstract The output feedback stabilization for discrete nonlinear systems is studied based on T-S fuzzy model in this paper. Firstly, a concept of the efficient mutual non-neighboring rule group (EMNNRG) is presented. Secondly, by using the scheme of parallel distributed compensation (PDC) and the piecewise fuzzy Lyapunov function, the stability of the closed-loop discrete T-S fuzzy control sys...

Abstract -In this paper, the problem of H∞ filtering design is studied for nonlinear sampled-data systems using the Takagi-Sugeno (T-S) fuzzy model approach. Traditionally, the sufficient conditions for the existence of such H∞ filter are characterized in terms of the solution of a differential Hamilton-Jacobi inequality with jumps, which is equivalent to solving the partial differential inequa...

Controller design strategy for Takagi-Sugeno (T-S) fuzzy systems is considered in the two-degree-of-freedom (TDOF) framework. Firstly, coprime factorization described in the state space formulas for T-S fuzzy systems is introduced based on a common Lyapunov function. Secondly, based on this coprime factorization, TDOF framework for LTI systems is extended to be applied to T-S fuzzy systems. Con...

The problem of robust state estimation for a class uncertain nonlinear systems with Markov jump is investigated. system under consideration represented by the Takagi–Sugeno (T–S) fuzzy model because it difficult to describe. Firstly, different from traditional T–S modeling method, deviation linear approaching considered, which as error in modeling. Secondly, through method based on sensitivity ...

Fuzzy systems can provide us with universal approximation models of deterministic input–output relationships, but in the stochastic environment few achievements related to the subject have so far achieved. In the paper a novel stochastic Takagi–Sugeno (T–S) fuzzy system is introduced to represent approximately existing randomness in many real-world systems. By recapitulating the general archite...

This thesis deals with the analysis and design of robust fuzzy controllers for uncertain nonlinear systems using Takagi-Sugeno (T-S) model based approach. A T-S fuzzy model is used here to approximate the uncertain nonlinear systems where the nominal model and uncertain terms of the consequent parts of the fuzzy model are identified by a linear programming approach and then they are expressed i...

controlling a system with minimum information and regardless of dynamic equations which dominate systems is the aim of intelligent control. one of the common approaches for process control is applying shewhart's quality control charts. neuro-fuzzy networks, as one of the branches of artificial intelligence (ai), can play an effective role in the enforcement of process control's common...