Premium
Adjoint—control transformations for solving practical optimal control problems
Author(s) -
Dixon L. C. W.,
BartholomewBiggs M. C.
Publication year - 1981
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660020405
Subject(s) - transversality , optimal control , adjoint equation , mathematics , pontryagin's minimum principle , control (management) , mathematical optimization , trajectory optimization , trajectory , basis (linear algebra) , point (geometry) , control variable , boundary value problem , hamiltonian (control theory) , scheme (mathematics) , control theory (sociology) , computer science , partial differential equation , mathematical analysis , statistics , physics , geometry , astronomy , artificial intelligence
This paper is concerned with some reformulations of the classical computational scheme for solving optimal control problems via Pontryagin's maximum principle. The purpose is to alleviate some well known difficulties involved in solving a two‐point boundary value problem in terms of adjoint variables. To this end there is discussion of the avoidance of explicit use of transversality conditions and the use of initial control rather than adjoint variables as the basis of the iterative procedure. The application of these ideas to some practical problems of spacecraft trajectory optimization is considered.