Lagrangian coordination for enhancing the convergence of analytical target cascading

Harrison M. Kim, Chen Wei, Margaret M. Wiecek

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

Abstract

Analytical target cascading (ATC) is a hierarchical multilevel multidisciplinary design methodology. In ATC, top level design targets (i.e., specifications) are propagated to lower level design problems in a consistent and efficient manner. In this article, a modified Lagrangian dual formulation and coordination for ATC are developed to enhance a formulation and coordination proposed earlier in the literature. The proposed approach guarantees all the properties established earlier but additionally offers new significant advantages. As established before for the convex case, the proposed ATC coordination converges to a global optimal solution with corresponding optimal Lagrange multipliers in the dual space. The Lagrange multipliers can be viewed as the weights for deviations in ATC formulations. Thus the proposed coordination algorithm finds the optimal solution and the optimal weights for the deviation terms simultaneously. The enhancement allows for target cascading between levels, the use of augmented Lagrangian to improve convergence of the coordination algorithm, and for prevention from unboundedness. A guideline to set the step size for subgradient optimization when solving the Lagrangian dual problem is also proposed.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages2095-2114
Number of pages20
ISBN (Print)1563478234, 9781563478239
DOIs
StatePublished - 2006
Event11th AIAA/ISSMO Multidisciplinary Analysis and Optimaztion Conference - Portsmouth, VA, United States
Duration: Sep 6 2006Sep 8 2006

Publication series

NameCollection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
Volume4

Other

Other11th AIAA/ISSMO Multidisciplinary Analysis and Optimaztion Conference
CountryUnited States
CityPortsmouth, VA
Period9/6/069/8/06

Keywords

  • Analytical target cascading
  • Augmented lagrangian
  • Convex/affine function
  • Dual coordination
  • Multidisciplinary design

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'Lagrangian coordination for enhancing the convergence of analytical target cascading'. Together they form a unique fingerprint.

  • Cite this

    Kim, H. M., Wei, C., & Wiecek, M. M. (2006). Lagrangian coordination for enhancing the convergence of analytical target cascading. In Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference (pp. 2095-2114). (Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference; Vol. 4). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2006-7086