Fuzzy predictive functional control of a class of non-linear systems

摘要

This study investigates a fuzzy predictive functional control scheme of a class of non-linear systems. According to the Takagi-Sugeno fuzzy model, a fuzzy prediction model of the presented non-linear system is given. Also, the fuzzy prediction model is transformed into the transfer function model. Then, a novel fuzzy predictive functional control scheme is proposed for a class of non-linear systems by combining the multi-variable centralised control and predictive functional control. The rigorous theoretical derivation is presented to ensure the stabilisation of the non-linear systems. Two representative cases, including the three-dimensional brushless DC motor and the 4D Chen system, are implemented to confirm the validity and superiority compared with an existing pure fuzzy control method.