Simultaneous LMI-based design of dynamic output feedback controller and anti-windup compensator for constrained Takagi-Sugeno fuzzy systems subject to persistent disturbances

This paper addresses a new control design method for Takagi-Sugeno fuzzy systems subject to input nonlinearity, state constraints and also persistent disturbances bounded in amplitude. The proposed method aims at designing simultaneously a dynamic output feedback controller together with its associated anti-windup compensator. The design conditions are derived from Lyapunov stability theorem and expressed in terms of linear matrix inequalities (LMIs). In such a way, the design problem can be solved efficiently with available numerical solvers. The validity of the proposed method is illustrated by means of several numerical examples.