LEAST SQUARES ANALYSIS WITH A DYNAMIC MODEL.

Abstract

Frequently in the study of dynamic systems one is faced with estimating the parameters in a mathematical model. A typical example of the situation we have in mind might arise in the study of the dynamics of a chemical process. In such a case, the x's would be manipulated inputs such as temperatures and concentrations while the y would represent the observed system output. For example, y might be the concentration of a particular chemical product. Even in simple cases one may be involved in estimation difficulties due to the number of parameters and the nonlinearity of the situation. To determine whether existing non-linear estimation procedures could be used to obtain precise estimates of the parameters in a mathematical model, it was decided to run an experiment with manufactured data.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0653265

Entities

People

  • D. W. Wichern
  • G. M. Jenkins
  • George E. P. Box

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Chemical Products
  • Cooperation
  • Dynamics
  • Mathematical Models
  • Models

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Control Systems Engineering.
  • Systems Analysis and Design