Robust control design of semilinear parabolic partial differential systems: A fuzzy approach

Abstract

This communication deals with the robust H∞ stabilization of the semilinear partial differential system using Lyapunov theory. The time derivative of this Lyapunov function can be made strictly negative definite by an appropriate choice of controls. In general, it is difficult to control partial differential systems. In order to simplify the design procedure of control law, a fuzzy partial differential system based on fuzzy interpolation approach is proposed. Based on this distributed model, the distributed robust control design is proposed to attenuate disturbances via solving linear matrix inequalities (LMIs). Finally, numerical results are presented and discussed to illustrate the effectiveness of the proposed approach.