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Comparison of two optimal feedback controls for parabolic systems
Author(s) -
Amouroux M.,
Courdesses M.,
Jai A. El.
Publication year - 1984
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.4660050206
Subject(s) - optimal control , mathematics , riccati equation , state (computer science) , control (management) , parabolic partial differential equation , algebraic riccati equation , control theory (sociology) , energy (signal processing) , numerical analysis , mathematical optimization , mathematical analysis , computer science , partial differential equation , algorithm , statistics , artificial intelligence
Two numerical methods for solving minimum energy control problem with final state constraints are presented for parabolic systems. In infinite dimensions, the functional analysis approach gives an explicit solution from which an approximation method is developed to allow the removal of the indetermination which causes numerical difficulties. The Riccati equation approach about the penalized criterion is also studied and the two solutions are compared on the implemented control laws (in finite dimensions). An example is presented.