A Comparison of Lyapunov and Hyperstability Approaches to Adaptive Control,

Abstract

The aim of this brief paper is to examine the conditions which have to be satisfied for the two approaches to be successfully applied to adaptive observers and controllers and also to demonstrate that they are entirely equivalent. Using a typical error model it is shown that hyperstability and asymptotic hyperstability are achieved under exactly the same conditions as stability and asymptotic stability in the sense of Lyapunov. In those cases where the adaptive control problem remains unresolved, the difficulties encountered using Lyapunov's method are shown to have their counterparts in hyperstability theory as well.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA064706

Entities

People

  • Kumpati S. Narendra
  • Lena S. Valavani

Organizations

  • Yale University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Adaptive Systems
  • Autonomous Systems
  • Case Studies
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Feedback
  • Frequency Domain
  • Lyapunov Functions
  • New York
  • Real Variables
  • Systems Engineering
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.