TY - GEN

T1 - Formation flying along an elliptic orbit by pulse control

AU - Bando, Mai

AU - Ichikawa, Akira

PY - 2014

Y1 - 2014

N2 - The linearized equations of relative motion of a follower satellite with respect to the leader in a given elliptic orbit are described by Tschauner-Hempel (TH) equations. In this paper, formation flying for the TH system with pulse control input is considered. First, the reconfiguration problem where the desired relative orbit of the follower is natural periodic orbit. Next, the active formation problem where the desired relative orbit is generated by an exosystem is considered. This allows for flexibility of the shape and period of the reference orbit. To realize such a formation flying, the output regulation theory for linear periodic systems is employed. To achieve asymptotic tracking, stabilizing feedback controls are designed by the periodic solution of discrete-time Riccati equation of the linear quadratic regulator (LQR) theory.

AB - The linearized equations of relative motion of a follower satellite with respect to the leader in a given elliptic orbit are described by Tschauner-Hempel (TH) equations. In this paper, formation flying for the TH system with pulse control input is considered. First, the reconfiguration problem where the desired relative orbit of the follower is natural periodic orbit. Next, the active formation problem where the desired relative orbit is generated by an exosystem is considered. This allows for flexibility of the shape and period of the reference orbit. To realize such a formation flying, the output regulation theory for linear periodic systems is employed. To achieve asymptotic tracking, stabilizing feedback controls are designed by the periodic solution of discrete-time Riccati equation of the linear quadratic regulator (LQR) theory.

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M3 - Conference contribution

AN - SCOPUS:84898988945

SN - 9780877036050

T3 - Advances in the Astronautical Sciences

SP - 1433

EP - 1446

BT - Astrodynamics 2013 - Advances in the Astronautical Sciences

PB - Univelt Inc.

T2 - 2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013

Y2 - 11 August 2013 through 15 August 2013

ER -