Dynamic optimization of first-order systems via static parametric programming: application to electrical discharge machining

In this paper, it is shown that dynamic optimization problems of first-order systems can be transformed into a static parametric programming problem, where the state plays the role of the parameter. Thus, an optimal feedback law is obtained. This concept is applied to the die-sinking electrical disc...

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Bibliographic Details
Published inJournal of materials processing technology Vol. 149; no. 1; pp. 94 - 98
Main Authors Huguenin, P., Srinivasan, B., Altpeter, F., Longchamp, R.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.06.2004
Subjects
Dynamic optimization
Electrical discharge machining
First-order system
Parametric programming
First-order system
Electrical discharge machining
Dynamic optimization
Parametric programming
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Summary:In this paper, it is shown that dynamic optimization problems of first-order systems can be transformed into a static parametric programming problem, where the state plays the role of the parameter. Thus, an optimal feedback law is obtained. This concept is applied to the die-sinking electrical discharge machining, a highly time varying industrial process which necessitates adaptation of machining settings during operation. It is shown that the minimum-time operation of this process is equivalent to choosing the manipulated variables that maximizes the speed of machining at every position.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0924-0136
DOI:10.1016/j.jmatprotec.2004.02.004