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New methods for suboptimal feedback control of parabolic systems
Author(s) -
Vermeychuk J. Gregory
Publication year - 1974
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690200121
Subject(s) - weighting , mathematics , boundary (topology) , control theory (sociology) , quadratic equation , class (philosophy) , optimal control , energy (signal processing) , control (management) , mathematical optimization , computer science , mathematical analysis , statistics , geometry , physics , artificial intelligence , acoustics
A new class of algorithms for the suboptimal feedback control of parabolic systems is presented. Three specific techniques within this class are developed and tested numerically using a linear example with three different types of boundary conditions. Performance of two of these techniques is found to compare favorably with that obtained by use of a rigorous open‐loop optimal control computed by the gradient method. It is also shown for linear systems having quadratic performance criteria that the new algorithms are superior to the technique presented by Vermeychuk and Lapidus (1973) in cases where state deviation has a weighting coefficient much greater than that for control energy.