A Functional Expansion Approach to the Solution of Nonlinear Feedback Systems.

Abstract

This paper presented two results: a new structure for the solution of nonlinear analytic systems, and an application of Bellman's Fundamental Technique to obtain the sub-optimal-feedback control of a class of quasilinear systems with non-quadratic performance indices. The application of the Fundamental Technique with a nonlinear auxiliary equation is shown to result in higher order approximating equations which are linear. Using the method by separation of variables, two examples are solved. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA062773

Entities

People

  • Ram-nandan P. Singh
  • Timothy L. Johnson

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Feedback
  • Law
  • Linear Systems
  • Nonlinear Systems
  • Numbers
  • Partial Differential Equations
  • Perturbations
  • Power Series
  • Standards

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis