Accession Number : AD0616790

Title :   ON NONLINEAR OPTIMAL CONTROL PROBLEMS WITH CONTROL APPEARING LINEARLY.

Descriptive Note : Doctoral thesis,

Corporate Author : GRUMMAN AIRCRAFT ENGINEERING CORP BETHPAGE N Y

Personal Author(s) : Munick,Herman

Report Date : JUN 1965

Pagination or Media Count : 80

Abstract : In a classical paper of 1919, Goddard posed the problem of finding the thrust program so that a specified payload is delivered in vertical flight to a desired altitude with least fuel expenditure. This and other control problems are considered in this thesis. Pontryagin's maximum principle, a necessary condition, is the primary tool employed. For Goddard's problem and other control problems considered, the control appears linearly in the system of equations. This permits the introduction of a switching function that can be used to give a decomposition of the optimal control into subarcs. A more natural way to decompose the optimal control is into subarcs for which either the control assumes boundary points or interior points of the control region. According to the former method, subarcs are called S-subarcs and according to the latter method, T-subarcs.

Descriptors :   (*OPTIMIZATION, CONTROL), (*THRUST VECTOR CONTROL SYSTEMS, OPTIMIZATION), CALCULUS OF VARIATIONS, TRANSFORMATIONS(MATHEMATICS), ROCKET TRAJECTORIES, THRUST, FUEL CONSUMPTION

Distribution Statement : APPROVED FOR PUBLIC RELEASE