Protector Control of 3D Cellular Automata via Space Attributes: Application to Wildland Fire
M. Byari, A. Bernoussi, M. Ouardouz and M. Amharref
In this work, we consider the control problem of a dynamical system modeled by Cellular Automata (CA) where the structure of the space impacts its evolution. We introduce “spatial attributes” and adapt the definition of the control through the actuator and attribute structures. We have focused on models where the space is heterogeneous and its configuration affects the evolution of the system. Thus, the proposed control operates by modifying the structure of the space to achieve the desired state of the system. The proposed protector control is based on the attributes of an area against a time-distributed disturbance. To illustrate our approach, we consider a CA based on 3D geometric cells providing a robust platform that demonstrates the potential of representing spatial dynamical phenomena in 3D. As a real-world application of the above approach, we consider a forest fire propagation model that we have been developing.
Keywords: Protector control,actuators, attributes, controllability, 3D Cellular automata, fire forest