A Sliding Mode Command for a System of Coupled Reservoirs

This study consisted to determine a discreet order by sliding method that was applied on a regulation procedure of a formed level by communicating reservoirs. The model that represents the system is determined by parametric identification based on the algorithm of the recursive least square with forgetfulness factor. Problem statement: The purpose is to develop a robust order that assuring the stability of the system autonomously of his initial state or of his environment. Approach: The first step consist to model the process, afterward, we developed the order. Results: We developed a command which permit to conduct the system towards a desired state (chosen state, an equilibrium point in our case) and ensured its stability in this zone whatever the conditions on the system. Conclusions: the hardiness of the order has been proved as a result of the introduction of an external perturbation on the process. But this order will be able again to improve also the non-controllable defects.