BOOLEAN XOR ENDPOINT CONSTRAINTS IN CONTINUOUS-TIME OPTIMAL CONTROL PROBLEMS
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Authors
VonWeller, Elliott L.
Subjects
costate
covector
DIDO
Hamiltonian
Lagrangian
optimal control
covector
DIDO
Hamiltonian
Lagrangian
optimal control
Advisors
Karpenko, Mark
Date of Issue
2020-09
Date
Sep-20
Publisher
Monterey, CA; Naval Postgraduate School
Language
Abstract
In continuous-time optimal control problems, constraints must be satisfied as a set of logical conjunctions. In many practical space missions, however, the end-point functions may contain disjunctions. This thesis presents an approach for handling these end-point function disjunctions as part of a single continuous-time trajectory optimization problem. The approach embeds continuous representations of discrete logic operators as part of the problem formulation in order to model the disjunctions. The application of this new concept is first analyzed and illustrated for a canonical double integrator model as a proxy for practical space flight applications. It is then shown how the approach can be used to efficiently allow an algorithm to choose the minimum effort or minimum time attitude rotation for a rigid spacecraft amongst a set of possible terminal attitudes.
Type
Thesis
Description
Series/Report No
Department
Mechanical and Aerospace Engineering (MAE)
Organization
Identifiers
NPS Report Number
Sponsors
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Format
Citation
Distribution Statement
Approved for public release. distribution is unlimited
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States