TY - GEN
T1 - Robust H∞ control for spacecraft formation flying with coupled translational and rotation dynamics
AU - Huang, Yi
AU - Jia, Yingmin
AU - Matsuno, Fumitoshi
N1 - Publisher Copyright:
© 2016 American Automatic Control Council (AACC).
PY - 2016/7/28
Y1 - 2016/7/28
N2 - In this paper, the problem on robust H∞ control for 6-DOF spacecraft formation flying in the presence of parameter uncertainties and external disturbances is addressed. Firstly, the model of coupled translation and rotation motion of spacecraft formation is established. Subsequently, a robust H∞ controller is proposed, which is constructed by the solution to the Hamilton-Jacobi-Inequality (HJI). It is proved that the 6-DOF coupled system is asymptotically stable and robust in respect to parameter uncertainties, and the H∞ norm between external disturbances and regulated output is ensured to be no more than a prescribed attenuation level. Since it is hard to solve the HJI analytically, a modified θ-D method is proposed, which is an effective approach to find an approximate solution to the HJI. It is illustrated that the modified θ-D method is feasible and convenient to implement onboard in the practical situation. Finally, numerical simulations are performed to demonstrate the effectiveness of the robust H∞ controller based on the modified θ-D method.
AB - In this paper, the problem on robust H∞ control for 6-DOF spacecraft formation flying in the presence of parameter uncertainties and external disturbances is addressed. Firstly, the model of coupled translation and rotation motion of spacecraft formation is established. Subsequently, a robust H∞ controller is proposed, which is constructed by the solution to the Hamilton-Jacobi-Inequality (HJI). It is proved that the 6-DOF coupled system is asymptotically stable and robust in respect to parameter uncertainties, and the H∞ norm between external disturbances and regulated output is ensured to be no more than a prescribed attenuation level. Since it is hard to solve the HJI analytically, a modified θ-D method is proposed, which is an effective approach to find an approximate solution to the HJI. It is illustrated that the modified θ-D method is feasible and convenient to implement onboard in the practical situation. Finally, numerical simulations are performed to demonstrate the effectiveness of the robust H∞ controller based on the modified θ-D method.
UR - https://www.scopus.com/pages/publications/84992116131
U2 - 10.1109/ACC.2016.7525559
DO - 10.1109/ACC.2016.7525559
M3 - Conference contribution
AN - SCOPUS:84992116131
T3 - Proceedings of the American Control Conference
SP - 4059
EP - 4064
BT - 2016 American Control Conference, ACC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 American Control Conference, ACC 2016
Y2 - 6 July 2016 through 8 July 2016
ER -