Journal of Optimization Theory and Applications

, Volume 20, Issue 1, pp 13–35 | Cite as

Parametric optimal design

  • B. M. Kwak
  • E. J. HaugJr.
Contributed Papers

Abstract

Two algorithms for the solution of a parametric optimal design problem are developed and applied to example problems from diverse fields, such as finite allocation problems, optimal design of dynamical systems, and Chebyshev approximation. Sensitivity analysis gives rise to a first-order feedback law, which contains a compensating term for any error in the nominal solution, as well as sensitivity of the solution with respect to design parameters. The compensating term, when used alone, leads to a new second-order method of maximization for a linearly-constrained nonlinear programming problem.

Key Words

Parametric optimal design worst-case design environmental parameter min-max problem Chebyshev approximation problem sensitivity analysis with error compensation 

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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • B. M. Kwak
    • 1
  • E. J. HaugJr.
    • 1
  1. 1.Department of Mechanics and Hydraulics, College of EngineeringThe University of IowaIowa City

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