Analytical model of three-dimensional fuzzy logic controller for spatio-temporal processes

A novel three-dimensional fuzzy logic controller (3D FLC) is presented for controlling the spatio-temporal systems, with the help of three-dimensional (3D) fuzzy sets and inference logic. The analytical model of the 3D FLC is derived to disclose its working principle and guide the control design. The derived model show that the 3D FLC has a global sliding mode structure over the spatial domain, which explains why the 3D FLC is able to process spatial information more effectively with a few more sensors. Based on its sliding mode feature, the 3D fuzzy logic control system can be analyzed and designed in the sense of Lyapunov stability. Finally, a catalytic reactor is presented as an example to validate the effectiveness of 3D FLC.