Accession Number : AD0676684

Title :   RESEARCH IN MODERN CONTROL THEORY.

Descriptive Note : Final rept.,

Corporate Author : NORTHWESTERN UNIV EVANSTON ILL INFORMATION-PROCESSING AND CONTROL SYSTEMS LAB

Personal Author(s) : Murphy,G. J.

Report Date : 10 JUN 1968

Pagination or Media Count : 12

Abstract : A procedure for optimal synthesis of linear pulse-width-modulated computer-controlled systems by dynamic programming and a method for time-optimal pulse-width control of linear plants were originated. A sufficient condition for asymptotic stability in the large of pulse-width-modulated feedback control systems was established also, as was a generalization of that result to obtain a sufficient condition for stability of a class of discrete feedback systems with parallel nonlinear elements. A procedure for the analysis and synthesis of a class of periodically switched linear systems was also developed, and a straight-forward procedure for the optimal design of nonlinear sampled-data control systems was originated. Interest in fundamental problems of stability led then to the establishing of a necessary and sufficient condition for asymptotic stability in the sense of Lagrange of a class of delta-modulation data-transmission systems, and finally to the creation of a new chart and a new tool for practical application of earlier theoretical results in a frequency-domain test for absolute stability of nonlinear feedback systems. (Author)

Descriptors :   (*CONTROL SYSTEMS, REPORTS), OPTIMIZATION, PULSE MODULATION, DELTA MODULATION, LINEAR SYSTEMS, NONLINEAR SYSTEMS, DYNAMIC PROGRAMMING, TRANSFER FUNCTIONS, DATA TRANSMISSION SYSTEMS, COMPUTERS, FEEDBACK, STABILITY, ABSTRACTS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE