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The computation of optimal singular bang‐bang control I: Linear systems
Author(s) -
Edgar T. F.,
Lapidus L.
Publication year - 1972
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.690180419
Subject(s) - bang–bang control , computation , limiting , mathematics , optimal control , linear system , process (computing) , control theory (sociology) , quadratic equation , control (management) , mathematical optimization , algorithm , computer science , mathematical analysis , engineering , geometry , mechanical engineering , artificial intelligence , operating system
A general algorithm for the solution of both singular and bang‐bang control problems is presented. The algorithm utilizes a limiting process and the solution of a constrained linear‐quadratic control problem. The algorithm is applied to problems with both fixed and nonfixed final times. General numerical results for several linear system examples are presented, and two minimum time examples are discussed in detail.