Finite-time fuzzy stabilization for parabolic DPSs via Round-Robin scheduling protocol

In this paper, the problem of finite-time stabilization for a class of nonlinear parabolic distributed parameter systems (DPSs) is addressed, in which a Round-Robin scheduling controller is proposed to input feedback signal. In order to easily design controller, a finite element technique based on Galerkin’s method is applied to DPSs, the approximate finite-dimensional nonlinear systems are obtained. To control the nonlinear DPSs, a Takagi-Sugeno (T-S) fuzzy controller is given based on the finite-dimensional systems. Then, a fuzzy scheduling controller is designed to address the finite-time stability problem under an optimal H ∞ performance level. Finally, a classical chemical model subjected to the Fisher equation is given to show the effectiveness of the proposed control method.