New fuzzy model with second order terms for the design of a predictive control strategy

In this paper a novel predictive control scheme based on Takagi-Sugeno model whose consequences include second order terms is proposed. Fuzzy models are used in order to approximate the non-linear behavior present on industrial dynamic systems. Quadratic approximations are used in the consequences because several systems has restricted controllable regions in the states domain. Thus, even fuzzy models may not be enough for representing the system dynamics in that regions, producing unexpected closed loop-behavior and loss of performance. The main difference between the proposed scheme and the ones reported in the literature is that iterative procedures and/or point to point approximation is not required. Reducing the computational burden of the controller. A continuous stirred tank reactor is used for testing the proposed control scheme.