Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 187-203
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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.
Keywords:
dynamic systems, control rules, multiobjective optimization, approximation of the Pareto frontier, Edgeworth–Pareto hull, management of a reservoir system.
@article{TIMM_2014_20_4_a16,
author = {A. V. Lotov and A. I. Ryabikov},
title = {Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {187--203},
publisher = {mathdoc},
volume = {20},
number = {4},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a16/}
}
TY - JOUR AU - A. V. Lotov AU - A. I. Ryabikov TI - Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations JO - Trudy Instituta matematiki i mehaniki PY - 2014 SP - 187 EP - 203 VL - 20 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a16/ LA - ru ID - TIMM_2014_20_4_a16 ER -
%0 Journal Article %A A. V. Lotov %A A. I. Ryabikov %T Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations %J Trudy Instituta matematiki i mehaniki %D 2014 %P 187-203 %V 20 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a16/ %G ru %F TIMM_2014_20_4_a16
A. V. Lotov; A. I. Ryabikov. Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 187-203. http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a16/