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Part V. Quasilinearization and state‐constrained systems
Author(s) -
Rothenberger B. F.
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.690130528
Subject(s) - quadratic growth , computation , optimal control , mathematical optimization , nonlinear system , state (computer science) , mathematics , control theory (sociology) , convergence (economics) , penalty method , control (management) , computer science , algorithm , physics , quantum mechanics , artificial intelligence , economics , economic growth
Abstract The quasilinearization algorithm is examined as a means of determining the optimal control of a nonlinear tubular reactor system with state constraints. It is shown that the use of penalty functions in an unconstrained algorithm can effectively solve the constrained problem. The method is quadratically convergent to the optimal control and seems more successful than methods which require gradients in the computation.