Accession Number : AD0267895

Title :   Statistical Study of Pulse Width Modulated Control Systems (I),

Corporate Author : CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH

Personal Author(s) : GUPTA,S.C. ; JURY,E.I.

Report Date : 12 SEP 1961

Pagination or Media Count : 1

Abstract : Efforts concern a statistical study of pulse width modulated control ystems. The pulse width modulator (PWM) was first considered for positive signals only. The output of this was then compared with the output of the approximate model w ere the PWM was replaced with a sampler, saturating nonlinear element and a hold circuit based on equal area approximation. An example was worked to show that there is little error involved by this approximation. Using this as the basis, the open loop case was worked out for Gaussian inputs. The results were tabulated and graphed. In the solution of the closed-loop system the difficulty of the calculation of the crosscorrelation function was overcome by making another approximation based on the separability property of Gaussian Process. This facilitates the whole problem and the relationship of output MSV to input MSV was graphed for a simple example. (Author)

Descriptors :   AUTOMATIC, CONTROL SYSTEMS, MATHEMATICAL ANALYSIS, NUMERICAL ANALYSIS, PULSE GENERATORS, PULSE MODULATION, STATISTICAL FUNCTIONS, STATISTICAL PROCESSES

Distribution Statement : APPROVED FOR PUBLIC RELEASE