Accession Number : AD0436291

Title :   ON THE THEORY OF OPTIMAL LINEAR CONTROL SYSTEMS,

Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES ENGINEERING CENTER

Personal Author(s) : Smith,Jack R. ; Nahi,Nasser E.

Report Date : JAN 1964

Pagination or Media Count : 63

Abstract : The derivation of optimal control algorithms for systems which can be represented by ordinary linear differential equations is presented. The results can be used to determine optimal controls for space vehicles. The control vectors considered herein are restricted such that either the norm of the control vector or the time integral of the square of the Euclidean norm of the control vector does not exceed a predetermined constant. If the second restriction applies, the system is said to be subject to the effort constraint, and the corresponding integral is called the control effort. The physical meaning of these restrictions is clear. In any physical system, the quantity of fuel supplied, temperature, current, voltage, etc., cannot take on arbitrarily large values. (Author)

Descriptors :   (*CONTROL SYSTEMS, THEORY), (*OPTIMIZATION, LINEAR SYSTEMS), DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS, INEQUALITIES, TRAJECTORIES, MATRICES(MATHEMATICS), SPACECRAFT

Distribution Statement : APPROVED FOR PUBLIC RELEASE