STRUCTURAL-PARAMETRIC SYNTHESIS OF TIME-OPTIMAL DISTRIBUTED PARAMETER CONTROL SYSTEMS WITH INTERVAL UNCERTAINTY OF THE PLANT CHARACTERISTICS
E. Ya. Rapoport, I. S. Levin
Samara State Technical University, ul. Molodogvardeiskaya 244, Samara, 443100 Russia
Keywords: объекты с распределёнными параметрами, оптимальное по быстродействию управление, альтернансный метод, функция переключения, структурно-параметрический синтез, интервальные неопределённости, distributed-parameter plants, time-optimal control, alternance method, switching function, structural-parametric synthesis, interval uncertainties
Abstract
This work is devoted to a possible way to construct time-optimal closed systems for incompletely determined linear models of distributed-parameter control plants of parabolic type, which provides real-time identification of their parametric characteristics according to the results of monitoring the state of the plants. The structural-parametric synthesis of the proposed controllers is based on the alternance method of designing optimal software controls. The paper gives an example (of independent interest) of constructing a time-optimal system for the control of the process of induction heating under typical conditions of interval uncertainty of the initial temperature and heat losses.
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