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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. [ABSTRACT FROM AUTHOR]

Fractional‐order fuzzy generalised predictive control (FFGPC) for a class of non‐linear systems is studied. Based on the Grünwald–Letnikov fractional calculus, Laplace transform, and discretisation, a class of fractional‐order non‐linear systems are transformed to fit the standard controlled autoregressive integrating moving average (CARMA) model. With the help of the Takagi–Sugeno fuzzy linearisation theory, a linear CARMA model for the non‐linear systems is represented. Then, a new FFGPC method is proposed for the fractional‐order non‐linear systems based on the obtained CARMA predictive model and generalised predictive control theory. Numerical simulations are implemented to verify the effectiveness and superiority of the new method. This work also provides a reference for the control of relevant fractional‐order systems. [ABSTRACT FROM AUTHOR]

A novel fractional order Takagi–Sugeno (T–S) fuzzy control method for a class of fractional order non‐linear systems is proposed in this study. On the basis of the fractional order interval theory, the generalised T–S fuzzy model for a class of uncertain fractional order non‐linear systems is presented. By using fractional order Lyapunov stability theorem, the more relaxed and practical sufficient stability conditions which are presented as a new set of linear matrix inequalities are put forward, which are guaranteed by rigorous mathematical derivation. The proposed control scheme is developed for fractional order non‐linear systems stabilisation in the presence of random disturbances. Typical instances including the fractional order three‐dimensional (3D) non‐linear system and the fractional order 4D non‐linear Lorenz hyperchaos are implemented. Simulation results indicate the designed fractional order T–S fuzzy control scheme works well compared with the existing method. [ABSTRACT FROM AUTHOR]