Publication

Dynamic Optimization of First-Order Systems via Static Parametric Programming: Application to Electrical Discharge Machining

Balasubrahmanya Srinivasan, Roland Longchamp
2004
Conference Papers

Abstract

In this paper, it is shown that dynamic optimization problems of first-order systems can be transformed into a static paramertic 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 adapation 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.

Official source

https://infoscience.epfl.ch/entities/publication/ed7be63d-c68c-459a-bf52-dc7d43e9fc78

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Balasubrahmanya Srinivasan, Roland Longchamp
2004
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/ed7be63d-c68c-459a-bf52-dc7d43e9fc78

About this result

Related concepts (32)

Mathematical optimization

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries.

Dynamic programming

Dynamic programming is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and has found applications in numerous fields, from aerospace engineering to economics. In both contexts it refers to simplifying a complicated problem by breaking it down into simpler sub-problems in a recursive manner. While some decision problems cannot be taken apart this way, decisions that span several points in time do often break apart recursively.

Machining

Machining is a process in which a material (often metal) is cut to a desired final shape and size by a controlled material-removal process. The methods that have this common theme are collectively called subtractive manufacturing, which utilizes machine tools, in contrast to additive manufacturing (3D printing), which uses controlled addition of material. Machining is a part of the manufacture of many metal products, but it can also be used on other materials such as wood, plastic, ceramic, and composite material.

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Dynamic Optimization of First-Order Systems via Static Parametric Programming: Application to Electrical Discharge Machining

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