Numerical optimal control for satellite attitudes

Ralf Otto Rigger

Abstract


In this paper we will present a new approach for optimal control of slews and attitude profiles. After the description of a set of the considered Hamiltonian functions and the respective slew maneuvers some analytical consequences of the choices are given. A comparison with the actual operational Euler angle slew is given and shows a close match. The performed numerical investigations of direct solutions help to gain a clearer picture on the underlaying analytical problem. By applying the Pontryagin maximum principle to the Hamiltonian equation, a family of closed dynamics ordinary differential equation for the direct optimal control problem is presented and their solutions and properties are investigated.


Keywords


49J15;70Q05;93C10;93C15

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2019.2.11

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