Supervisor design with Petri nets for asymmetrical system

Asymmetrical processes are common nonlinear systems, where the switching between two different operating modes depends on whether the system input or output is increasing or decreasing. The existing intelligent control methods for asymmetrical system can´t explain the relationship between continuous and discrete part of the system. With the idea of hybrid systems, a supervisory control method is developed to distinguish asymmetry phenomena of the thermal process of a furnace. In order to ensure the stability of arriving at the setting point, a supervisory controller modelled by the extended Controlled Petri nets is designed to track errors and the direction of the output. Then the system can be switched to an appropriate mode, where the tracking determines the switch. Test result verifies the validity of this method.