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Optimal control of linear distributed parameter systems by finite‐element Galerkin's technique
Author(s) -
Rao K. C.,
Prabhu S. S.,
Mehta S. C.
Publication year - 1982
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.4660030106
Subject(s) - discretization , galerkin method , finite element method , discontinuous galerkin method , optimal control , heat exchanger , distributed parameter system , control theory (sociology) , mathematics , mathematical optimization , computer science , mechanical engineering , control (management) , engineering , mathematical analysis , partial differential equation , structural engineering , artificial intelligence
The paper considers a finite‐element discretization for solving two distributed parameter system optimal control problems. Linear and quadratic finite‐element approximations are used in conjunction with Galerkin's method. The first problem involves heating a massive body in a furnace and takes into account furnace dyanmics. The input (fuel flow rate) is magnitude constrained, and the performance index is the terminal cost. The second problem pertains to a plug‐flow heat exchanger and is solved for end‐point control and control along the entire heat exchanger. Uniform wall flux and wall temperature serve as the control variables. The results are compared with earlier results, and advantages of the present approach are discussed.