Takagi–Sugeno fuzzy generalized predictive control for a class of nonlinear systems

In this paper, a fuzzy generalized predictive control method for a class of nonlinear systems is studied. Firstly, based on the Takagi–Sugeno fuzzy model, a class of nonlinear systems and its fuzzy predictive model are presented. Next, based on the controlled autoregressive integrating moving average model transformed by the Takagi–Sugeno fuzzy model of the nonlinear systems, a novel fuzzy generalized predictive control method is proposed for the nonlinear systems, which combines fuzzy techniques and generalized predictive control theory. Lastly, two typical examples, the three-dimensional Lorenz nonlinear system and the four-dimensional Chen nonlinear system, are employed to verify the effectiveness and superiority of the proposed scheme. It also provides a reference for relevant control of nonlinear even chaotic systems.