TY - GEN

T1 - Formation flying along a circular orbit with control constraints

AU - Bando, Mai

AU - Ichikawa, Akira

PY - 2012/12/1

Y1 - 2012/12/1

N2 - In this paper, leader-follower formation flying problems based on the periodic orbits of the Hill-Clohessy-Wiltshire equations are considered. For a given final relative orbit, the admissible controls are feedback controls such that the follower tracks the final orbit asymptotically. The main performance index is the L1-norm of the control input which is proportional to the fuel consumption. The L∞-norm, which gives the magnitude of the input, is an additional performance index under the thruster level limitation. Feedback controls are designed via two algebraic Riccati equations with parameters, and their L1- and L∞- norms are given as functions of the parameters. Suboptimal controls are designed by choosing appropriate parameters. Simulation results for a reconfiguration problem are given to demonstrate the effectiveness of the design method.

AB - In this paper, leader-follower formation flying problems based on the periodic orbits of the Hill-Clohessy-Wiltshire equations are considered. For a given final relative orbit, the admissible controls are feedback controls such that the follower tracks the final orbit asymptotically. The main performance index is the L1-norm of the control input which is proportional to the fuel consumption. The L∞-norm, which gives the magnitude of the input, is an additional performance index under the thruster level limitation. Feedback controls are designed via two algebraic Riccati equations with parameters, and their L1- and L∞- norms are given as functions of the parameters. Suboptimal controls are designed by choosing appropriate parameters. Simulation results for a reconfiguration problem are given to demonstrate the effectiveness of the design method.

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M3 - Conference contribution

AN - SCOPUS:84877937223

SN - 9780877035770

T3 - Advances in the Astronautical Sciences

SP - 1375

EP - 1388

BT - ASTRODYNAMICS 2011 - Advances in the Astronautical Sciences

T2 - 2011 AAS/AIAA Astrodynamics Specialist Conference, ASTRODYNAMICS 2011

Y2 - 30 July 2011 through 3 August 2011

ER -