6533b85bfe1ef96bd12bb4b4

RESEARCH PRODUCT

Time optimal control of a satellite with two rotors

Ugo BoscainBenedetto PiccoliYacine Chitour

subject

Engineeringbusiness.industry010102 general mathematicsWork (physics)Control (management)Structure (category theory)[MATH] Mathematics [math]Time optimal01 natural sciencesStructural optimizationControl theoryTime optimal trajectoryControl systemEnvelope theoryTrajectorySatelliteTime optimal control0101 mathematics[MATH]Mathematics [math]businessEnvelope (motion)

description

International audience; The aim of this work is to investigate the structure of time-optimal trajectories for a control system modelizing a satellite with two rotors attached along its two fixed axes. Our results extend to the general case those obtained by Sussmann and Tang in an unpublished paper where they treat a particular case described below. We end up finding a sufficient family of four parameters trajectory types. The main tools used are the Pontryagin Maximum Principle, switching functions and envelope theory. © 2001 EUCA.

yearjournalcountryeditionlanguage
2001-01-01
https://hal.science/hal-02320857