OPTIMIZATION OF COUPLED NONLINEAR SYSTEMS,

Abstract

A coupling perturbation method is developed for near optimum design of nonlinear systems. A scalar parameter epsilon is introduced in an nth order system such that for epsilon = 0 the system decouples into two (or more) independent low order subsystems. By the same procedure epsilon is introduced into the performance index. The near optimal control u is defined as a truncated power series in epsilon. It is shown that each term of the above series can be sequentially obtained by separate subsystem calculations. Thus a considerable saving in computational effort is achieved. Two examples are presented and the results compared with those obtained by conventional iterative methods. Applicability of the method to problems which cannot be solved by conventional methods is also discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0697813

Entities

People

  • Gurdial Singh
  • Petar V. Kokotovic

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Couplings
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Systems
  • Optimization
  • Perturbations
  • Power Series

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Life Cycle Cost Analysis