MULTICRITERIA CONTROL OF SYSTEMS WITH DISTRIBUTED PARAMETERS IN THE CASE OF INTERVAL UNCERTAINTY OF CHARACTERISTICS OF THE OBJECT
E. Ya. Rapoport, Yu. E. Pleshivtseva
Samara State Technical University, Samara, Russia
Keywords: многокритериальная оптимизация, системы с распределёнными параметрами, оптимальное управление, минимаксные оценки, интервальная неопределённость, альтернансный метод, mulicriteria optimization, distributed parameter systems, optimal control, minimax estimates, interval uncertainty, alternance method
Abstract
The previously developed technology of multicriteria optimization of deterministic parabolic distributed parameter systems can be applied in situations with interval uncertainties of parametric characteristics of controlled objects. Minimax tasks of mathematical programming are formed in accordance with a control strategy based on the principle of the best guaranteed result on an expanded set of arguments, which includes all permissible realizations of uncertain factors, in the case of estimation of a given approximation accuracy to a required finite state of the system in uniform metric. These tasks are solved by an alternance method that uses the Chebyshev properties of desired extermals and fundamental laws of the problem domain. Of independent interest is the given example of multicriteria optimization of temperature regimes of induction heating of metallic semifinished products before plastic deformation operations in technological complexes for pressure treatment of metal
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