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Unified approach for open‐loop optimal control
Author(s) -
Imura Y.,
Naidu D. S.
Publication year - 2006
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.788
Subject(s) - operator (biology) , computer science , discrete time and continuous time , control (management) , derivative (finance) , unified model , open loop controller , optimal control , mathematical optimization , control theory (sociology) , calculus (dental) , mathematics , closed loop , control engineering , engineering , artificial intelligence , physics , transcription factor , gene , dentistry , repressor , chemistry , biochemistry , medicine , statistics , financial economics , meteorology , economics
Abstract We develop a unified approach for the necessary conditions for optimization of open‐loop control systems, starting from the basic principles of calculus of variations. The unified approach results are simultaneously applicable to both shift ( q )‐operator‐based, discrete‐time systems and the derivative (d/d t )‐operator‐based, continuous‐time systems. It is shown that the optimal condition results that are now obtained separately for continuous‐time and discrete‐time systems can be easily obtained from the unified approach. An illustrative example is given. Copyright © 2006 John Wiley & Sons, Ltd.