Unified scaling of dynamic optimization design formulations

Daniel R. Herber, James T. Allison

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this article, we explore scaling in dynamic optimization with a particular focus on how to leverage scaling in design studies. Here scaling refers to the process of suitable change of variables and algebraic manipulations to arrive at equivalent forms. The necessary theory for scaling dynamic optimization formulations is presented and a number of motivating examples are shown. The presented method is particularly useful for combined physical-system and control-system design problems to better understand the relationships between the optimal plant and controller designs. In one of the examples, scaling is used to understand observed results from more complete, higherfidelity design study. The simpler scaled optimization problem and dimensionless variables provide a number of insights. Scaling can be used to help facilitate finding accurate, generalizable, and intuitive information. The unique structure of dynamic optimization suggests that scaling can be utilized in novel ways to provide better analysis and formulations more favorable for e-ciently generating solutions. The mechanics of scaling are fairly straightforward but proper utilization of scaling is heavily reliant on the creativity and intuition of the designer. The combination of existing theory and novel examples provides a fresh perspective on this classical topic in the context of dynamic optimization design formulations.

Original languageEnglish (US)
Title of host publication43rd Design Automation Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791858127
DOIs
StatePublished - Jan 1 2017
EventASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017 - Cleveland, United States
Duration: Aug 6 2017Aug 9 2017

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume2A-2017

Other

OtherASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
Country/TerritoryUnited States
CityCleveland
Period8/6/178/9/17

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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