Abstract
Optimal control of multisectional tunnel furnaces is considered applying the Nash game approach, developed for large-scale cascade systems by Özgüner and Perkins (1978). Temperature in each section is modelled by a first order hyperbolic equation. The equations are coupled in a cascade through boundary conditions. Nash PI feedback control is synthesized solving succesively LQ problems. The gains are characterized by appropriate Riccati and linear integro-differential equations. Given periodical changes of charge weight, open-loop fuel rate prognoses are formulated using the frequency method. Orthogonal collocation is applied to get lumped approximation. Some numerical results are given.
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