Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations

A method for the construction of control rules in a dynamic system in the case of several decision criteria is proposed. The choice of a rule is based on the approximation of the Edgeworth–Pareto hull (EPH) and the interactive visualization of the Pareto frontier in the form of decision maps, i.e., families of two-dimensional sections of the EPH shown at a researcher's request. The application of the proposed method to the construction of control rules for the Angara reservoir system is described.