SUBOPTIMAL FEEDBACK CONTROL OF SYSTEMS WITH RANDOM PARAMETERS,

Abstract

This thesis relates the theory of optimal control with the concept of sensitivity. It deals with the following problem. Suppose one wants to design an optimal controller for a system that has a variable input and contains unknown random parameters. The controller must generate an optimal control for each allowed input and all allowed values of the random parameters. However, the controller cannot measure the parameters directly; it can only measure the input to the system and the output of the system. Hence, it is a feedback controller that generates the optimal control for all allowed inputs and systems. This thesis gives a method for finding a suboptimal solution to the above problem; however, the approximation of the optimal solution can be made to any desired degree of accuracy. For, the suboptimal solution is a partial sum of an infinite series that converges to the optimal solution to the problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0641186

Entities

People

  • Ronald A. Werner

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Feedback
  • Infinite Series
  • Mathematical Analysis
  • Mathematics
  • Sensitivity

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.