TECHNOLOGY OF SOLVING MULTICRITERIAL PROBLEMS OF CONTROL OF SYSTEMS WITH DISTRIBUTED PARAMETERS
E. Ya. Rapoport, Yu. E. Pleshivtseva
Samara State Technical University, 443100, Samara, ul. Molodogvardeiskaya, 244
Keywords: многокритериальная оптимизация, системы с распределёнными параметрами, оптимальное управление, полубесконечная оптимизация, альтернансный метод, multicriterial optimization, systems with distributed parameters, optimal control, semi-infinite optimization, alternance method
Abstract
A structural technology of multicriterial optimization of control of technical objects with distributed parameters is proposed. The technology is based on a single-criterion version in the form of the minmax convolution of normalized performance criteria. The approach under development is based on the transition to an equivalent form of the variational problem with constraints, with the problem solution being a priori Pareto-effective. Further procedures of preliminary parametrization of control actions and subsequent reduction to a special problem of semi-infinite programming make it possible to find the sought extremals with the use of their Chebyshev properties and fundamental laws of the subject domain. An example of multicriterial optimization of operation modes of an engineering thermophysics object is presented, which is of independent interest.
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