Accession Number : AD0664319

Title :   THE SINGULARITY PROBLEM IN FINAL VALUE CONTROL,

Corporate Author : AEROSPACE CORP EL SEGUNDO CALIF EL SEGUNDO TECHNICAL OPERATIONS

Personal Author(s) : Stubberud,A. R.

Report Date : NOV 1967

Pagination or Media Count : 30

Abstract : Final value control of linear plants is discussed. An expression for the closed-loop fundamental matrix is presented in terms of the open-loop transition matrix. It is shown that for scalar minimum-energy final value control the singularities in the feedback loops are inversely proportional to the order of the derivative being fed back; that is, the position loop has an nth order singularity, the velocity loop an (n-1)th order singularity, etc. A partially-closed-loop control is developed that allows the highest-order feedback singularity to be set between n and zero and the results are illustrated by examples. (Author)

Descriptors :   (*SYSTEMS ENGINEERING, FLIGHT CONTROL SYSTEMS), SURFACE TO SURFACE MISSILES, LINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), OPTIMIZATION, FEEDBACK, POWER SERIES, TRANSCENDENTAL FUNCTIONS, NUMERICAL ANALYSIS, LAUNCH VEHICLES

Subject Categories : Operations Research
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Distribution Statement : APPROVED FOR PUBLIC RELEASE