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The optimality of an easily implementable feedback control system: An inverse problem in optimal control theory
Author(s) -
Denn Morton M.
Publication year - 1967
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.690130520
Subject(s) - optimal control , controller (irrigation) , process (computing) , control (management) , statement (logic) , problem statement , process control , product (mathematics) , mathematical optimization , computer science , inverse , control system , control theory (sociology) , feedback control , mathematics , control engineering , engineering , management science , artificial intelligence , geometry , electrical engineering , law , political science , agronomy , biology , operating system
In most control applications in the chemical process industries it is not realistic to attempt to define a unique mathematical statement of the control objective, for many criteria will satisfy the physical requirement of the rapid elimination of errors in the product stream as the result of an upset. The strong dependence of the structure of an optimal control system on the choice of objective then makes optimal control theory irrelevant in such situations, since the control engineer has no assurance that a complicated controller is a necessity of the process, rather than a consequence of an unfortunate choice of objective. In this paper an inverse problem is considered, in which an easily implementable feedback control system is first chosen and then is shown to be optimal for a physically meaningful objective in a large class of systems.