Optimization of Linear Stochastic Systems Described by Functional Differential Equations,

Abstract

In the first part, the optimal control is determined for linear stochastic systems described by functional differential equations by assuming that the feedback loop consists of an estimator and a controller. Their gain matrices are determined by minimizing the mean squared estimation error and the average of a quadratic functional. In the second part, the details for the design of the optimal unbiased estimator is presented. The minimization is performed by applying the matrix maximum principle. Examples illustrate the approach. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1970
Accession Number
AD0715278

Entities

People

  • A. J. Koivo

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Estimators
  • Feedback
  • Mathematics
  • Optimization

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Control Systems Engineering.