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Comparison of methods for design sensitivity analysis for optimal control of thermal systems
Author(s) -
House John M.,
Arora Jasbir S.,
Smith Theodore F.
Publication year - 1993
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660140103
Subject(s) - sensitivity (control systems) , variable (mathematics) , control variable , optimal control , computer science , optimal design , adjoint equation , mathematical optimization , control theory (sociology) , mathematics , control (management) , engineering , statistics , electronic engineering , differential equation , artificial intelligence , mathematical analysis
The objective of this study is to examine two analytical methods for the design sensitivity analysis of optimal control problems and to develop the analyses necessary for the application of the methods to thermal systems. The two methods are the direct differentiation method and the adjoint variable method. Results for these methods are compared with those obtained using central finite difference approximations for design sensitivity analysis. The adjoint variable method has the potential to reduce significantly computational times for design sensitivity analysis while sacrificing only a small amount of accuracy. As the number of functional requiring design sensitivity analysis increases, however, the adjoint variable method becomes less attractive and the direct differentiation method becomes more attractive.