Design of a fuzzy integral sliding mode tracking controller for T-S fuzzy systems

In this paper, a reference model tracking control for a nonlinear system expressed as a Takagi-Sugeno (T-S) fuzzy model is set through a fuzzy integral sliding mode controller. The stabilization conditions for the sliding motion are derived in terms of a linear matrix inequality, and the fuzzy integral sliding mode controller is designed. Moreover, it is verified through the Lyapunov stability condition that the designed controller allows the error dynamics model to reach the sliding surface. Finally, in the simulation example, it is shown that the proposed method successfully achieves the fuzzy tracking control. In addition, a performance comparison between the proposed method and the existing state feedback control technique is provided.