Accession Number : AD0616608

Title :   MINIMUM PEAK AMPLITUDE CONTROL,

Corporate Author : MICHIGAN UNIV ANN ARBOR COOLEY ELECTRONICS LAB

Personal Author(s) : Waltz,Frederick Marshall

Report Date : MAY 1965

Pagination or Media Count : 197

Abstract : This report considers a class of optimal control problems in which the input signal to a given system is to be chosen so as to cause the output of the system to satisfy specified conditions and so that the peak value of the input over the operating interval is a minimum. For cases in which the given system is linear, a theorem guaranteeing the existence of an optimal input and a theorem giving the form of this optimal input are presented, as well as computational algorithms for obtaining numerical values of optimal inputs. Two approaches to minimum peak amplitude problems in which the given system in nonlinear are presented: the first makes use of a certain time-optimal problem, and the second involves a limiting process using an L sub p-space norm in place of the originally-specified cost functional. (Author)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), (*SIGNALS, CONTROL SYSTEMS), (*OPTIMIZATION, CONTROL SYSTEMS), FUNCTIONAL ANALYSIS, LINEAR SYSTEMS, CALCULUS OF VARIATIONS, DYNAMIC PROGRAMMING

Distribution Statement : APPROVED FOR PUBLIC RELEASE