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...

Takagi–Sugeno (T–S) fuzzy models play an important role in nonlinear control because they can be used to approximate nonlinear systems. Also, for the affine T–S fuzzy models, the local linear sub-system properties can be easily related to the physics of the controlled nonlinear system. This is one advantage of the affine T–S fuzzy models relative to the homogeneous T–S fuzzy models. In the lite...

This paper addresses the criterion of delay-dependent stability for nonlinear systems with time-delays which can be represented by Takagi–Sugeno (T–S) fuzzy model with time-delays. Based on Leibniz-Newton formula, the e¤ect of states and the delay states to the stability is considered to construct a Lyapunov functional and to form some special equations, which facilitate proposing a new delay-d...

A novel optimal method is developed to improve the identification and estimation of Takagi-Sugeno (TS) fuzzy model. The idea comes from the fact that the main drawback of T-S model is that it can not be applied when the membership functions are overlapped by pairs. This limits the application of the T-S model because this type of membership function has been widely used in the stability and con...

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...