Accession Number : AD0618325

Title :   OPTIMIZATION OF SYSTEMS WITH PULSE-WIDTHMODULATED CONTROL,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : KIRK,Donald E.

Report Date : JUN 1965

Pagination or Media Count : 66

Abstract : A new procedure for optimizing the performance of pulse-width-modulated systems is given for plants which may be nonlinear and time-varying. A modified Bolza performance index is employed. The optimization is formulated as a multiple-arc problem of the calculus of variations. Necessary conditions for optimal control are given in the form of a nonlinear two-point boundary value problem. The method of steepest descent is applied to obtain numerical solutions. A computational procedure is found which is especially suited to this type of problem. Special features of the procedure are automatic step size adjustment, and the generation of a sequence of performance indices which is monotonic. Examples which illustrate the range of application are given. (Author)

Descriptors :   (*OPTIMIZATION, CONTROL SYSTEMS), (*PULSE MODULATION, CONTROL SYSTEMS), BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, CALCULUS OF VARIATIONS, NONLINEAR SYSTEMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE