Control Design for Parabolic PDE Systems via T–S Fuzzy Model

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 parameter system, new are deduced in form linear inequalities (LMIs). Moreover, compared controller, more conservative based on another also provided. Finally, explore state-feedback into Fisher equation as an application. Simulation results show that proposed method effective.