Multi-variable fuzzy logic control for a class of distributed parameter systems

A multi-variable fuzzy logic controller (FLC) is proposed to control a class of distributed parameter systems (DPSs). When a DPS is transformed into finite-dimensional ordinary differential equations (ODEs) by using time/space separation, each ODE can be considered as a subsystem. According to design strategy of conventional FLC, one FLC should be designed for one subsystem. It will be very complex because there are many subsystems. In order to reduce design complexity, only a MF and a rule base are designed in the controller. For other subsystems or ODEs, their MFs can be designed equivalently by introducing scaling factors. Then, the proposed FLC has ability to control multi-variable processes. At last, the proposed FLC is applied to control a rod catalytic reaction process. The simulation results demonstrate the effectiveness of the proposed fuzzy control strategy.

► Multi-variable fuzzy logic controller is proposed for distributed parameter systems.
► A design method of membership function is presented by using scaling factors.
► A fuzzy logic that presents multi-variables property is built.
► Simulation results demonstrate effectiveness of the proposed controller.