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Optimization of a Class of River Aeration Problems by the Use of Multivariable Distributed Parameter Control Theory
Author(s) -
Tarassov Victor J.,
Perlis Harlan J.,
Davidson Burton
Publication year - 1969
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr005i003p00563
Subject(s) - aeration , multivariable calculus , control theory (sociology) , distributed parameter system , optimal control , mathematical optimization , control (management) , controller (irrigation) , computer science , mathematics , control engineering , engineering , partial differential equation , mathematical analysis , waste management , artificial intelligence , agronomy , biology
Multivariable distributed parameter control theory has been applied to the optimization of artificial in‐stream aeration of polluted rivers. The optimization was developed for a general integral type of cost functional with weighted energy constraints. Three specific types of aeration control policies were considered: distributed space and time control, distributed time control, and distributed space control. Employing typical hydrologic coefficients with the transient version of Streeter‐Phelps equation, the optimal aeration control surfaces obtained were all found to lie well within the operating characteristics of commercial aeration equipment. Distributed parameter control theory applied to water pollution systems proved to be a powerful mathematical programing method comparable to linear and dynamic programing.