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An effective computational algorithm for suboptimal singular and/or bang‐bang control II. Applications to nonlinear lumped and distributed systems
Author(s) -
Nishida N.,
Liu Y. A.,
Lapidus Leon,
Hiratsuka S.
Publication year - 1976
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.690220315
Subject(s) - nonlinear system , bang–bang control , control theory (sociology) , computation , maximization , curse of dimensionality , mathematics , algorithm , mathematical optimization , penalty method , computer science , optimal control , control (management) , physics , statistics , quantum mechanics , artificial intelligence
A new and simple algorithm based on the piecewise maximization of the Hamiltonian and a limiting process utilizing a penalty function of the control variables for the computation of suboptimal singular and/or bang‐bang control, previously developed and applied to linear lumped systems in Part I, is tested on four typical nonlinear lumped and distributed systems of particular chemical engineering interest. The computational results have shown that the proposed algorithm is a very effective method for solving singular and/or bang‐bang control problems with high state dimensionality, extreme nonlinearity, and multiple controls.