Asymptotic Tracking Control for Spacecraft Formation Flying with Decentralized Collision Avoidance

2015 ◽  
Vol 38 (4) ◽  
pp. 587-600 ◽  
Author(s):  
Daero Lee ◽  
Amit K. Sanyal ◽  
Eric A. Butcher
Keyword(s):  
Collision Avoidance ◽  
Tracking Control ◽  
Formation Flying ◽  
Spacecraft Formation ◽  
Spacecraft Formation Flying ◽  
Asymptotic Tracking

Nonlinear optimal tracking control of spacecraft formation flying with collision avoidance

2018 ◽  
Vol 41 (4) ◽  
pp. 889-899 ◽  
Author(s):  
Ruixia Liu ◽  
Ming Liu ◽  
Yuan Liu
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Collision Avoidance ◽  
Tracking Control ◽  
Formation Flying ◽  
Optimal Tracking ◽  
Spacecraft Formation ◽  
Spacecraft Formation Flying ◽  
Control Scheme ◽  
Nonlinear Optimal Control Problem

In this paper, the nonlinear optimal control problem is investigated for spacecraft formation flying with collision avoidance. Based on a nonlinear model of formation flying, two optimal tracking control laws are proposed to ensure the formation pattern converges to the predetermined configuration. The first optimal control law which combines Lyapunov optimizing control with a trajectory-following optimization technique is developed to solve the finite-time nonlinear optimal control problem. For the second controller, an extended [Formula: see text]-[Formula: see text] method is applied to design a closed-form feedback control scheme for nonlinear control problem of spacecraft formation flying with non-standard cost functions. By taking into account the flying safety, a repulsive control scheme is incorporated in the optimal controller to ensure collision avoidance and minimize the performance index. Finally, a numerical example is performed to demonstrate the effectiveness of the proposed approaches.

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