Accession Number:

AD0260044

Title:

STABILITY ANALYSIS OF TWO-PARAMETER CONTROL SYSTEMS

Descriptive Note:

Research rept.

Corporate Author:

POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST

Personal Author(s):

Report Date:

1961-06-01

Pagination or Media Count:

105.0

Abstract:

This dissertation treats the problem of stability in 2 parameter control systems. The 2 parameters may be loop-gains, time constants, natural frequencies, damping constants, or describing function gains representing system nonlinearities. The limitations of single parameter analysis techniques are discussed and parameter plane analysis introduced. The 2 system parameters are plotted along the coordinate axes in the parameter plane. The left-half-plane and the j omega axis of the s-plane are mapped into a stable region and a stability boundary respectively, in the parameter plane. The parameter plane plot delineates the ranges of the 2 system parameters that yield stable operation. The Routh Table or other similar stability criteria are used to obtain the stability boundary in the parameter plane. Using appropriate mapping transforms, performance boundaries may be obtained. These transformations allow a mapping of lines of constant sigma in the left-half-plane into the parameter plane. Analog computer methods are discussed that allow experimental location of stability and performance boundaries in complex problems. The parameter plane method of analysis was applied to a system with 2 nonlinearities. Three means of analyzing 3 and more parameter systems are also discussed. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE