ON PERFORMANCE LOSSES IN SOME ADAPTIVE CONTROL SYSTEMS, 1,

Abstract

One approach to the solution of optimal control problems has been to assume a priori distributions of parameter values, which are updated if and when additional information on system behavior becomes available. Different a priori probability distributions, however, imply different amounts of cost paid due to adaptation and it is of considerable interest to compute the price paid for adaptation for different adaptive systems converging to the same system. This is the second question. There is discussed a related problem to this second question: In order to minimize some measure of loss of performance how to assign values to these imprecisely known parameters initially before adaptation processes begin, or how to assign values throughout the control periods if additional observations on the parameters are not permitted or are not feasible. The concept of loss of performance and that of percentage loss of performance are introduced and the assignment of parameter values is done so as to minimize the average loss of performance (or percentage performance), the average being taken over the distribution of unknown parameter values. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0421575

Entities

People

  • Masanao Aoki

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Adaptive Control Systems
  • Adaptive Systems
  • Control Systems
  • Mathematics
  • Observation
  • Probability
  • Probability Distributions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Statistical inference.
  • Theoretical Analysis.