Accession Number : AD0697813

Title :   OPTIMIZATION OF COUPLED NONLINEAR SYSTEMS,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Kokotovic,Petar V. ; Singh,Gurdial

Report Date : NOV 1969

Pagination or Media Count : 33

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)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), (*NONLINEAR SYSTEMS, DESIGN), (*NUMERICAL ANALYSIS, *PERTURBATION THEORY), APPROXIMATION(MATHEMATICS), ITERATIONS, POWER SERIES, LINEAR SYSTEMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE