Low-Thrust Transfer Orbit Design Based on Lyapunov Feed Back Control Law

Author(s):  
Ren Yuan ◽  
Cui Ping-yuan ◽  
Luan En-jie
2014 ◽  
Vol 61 (6) ◽  
pp. 3348-3355 ◽  
Author(s):  
Scott R. Messenger ◽  
Frankie Wong ◽  
Bao Hoang ◽  
Cory D. Cress ◽  
Robert J. Walters ◽  
...  

2014 ◽  
Vol 875-877 ◽  
pp. 1153-1159 ◽  
Author(s):  
Tao Yang ◽  
Zheng Dong Hu ◽  
Li Bo Yang

This paper investigates a methodology for group coordination and cooperative control of satellites with the aim to achieve formation reconfiguration such as radius enlargement and phase angle adjustment. The proposed approach separates the control law into two distinct stages: planar movement control and orthogonal displacement suppression. The in plane approach is based on a cyclic pursuit strategy, where satellite i pursues satellite i +1. For phase angle adjustment, a control law that makes use of beacons guidance is synthesized to maintain the circling centre stationary. In the orthogonal direction, a linear feed back control on displacement and velocity is used. Simulation of two missions with low thrust are provided, which high light the over all effectiveness of the proposed approach.


Author(s):  
V.V. Salmin ◽  
K.V. Petrukhina ◽  
A.A. Kvetkin

At present the geostationary orbit is where communication satellites are preferably placed. Conventional orbital insertion profiles using chemical propulsion are insufficiently effective and require the use of heavy launch vehicles. Combining electric thrusters with chemical propulsion increases the mass of payload. On the other hand, orbital injection of a spacecraft using electrical propulsion brings up the problem of looking for an optimal control law. The paper discusses the transfer of a spacecraft with low-thrust electrical thruster from a high elliptical orbit to geostationary orbit. It proposes a suboptimal control law for the thrust vector. It provides examples of simulations of the transfer using the control law for various initial conditions. Parameters of intermediate high-elliptical orbits were selected to minimize the time of transfer to the final orbit, and estimates were made of the effects of the residual atmospheric drag during flight in the vicinity of the perigee of the orbit. Considering the low level of error, simplicity and high computational speed the proposed method can be used for trajectory design calculations. Key words: Suboptimal control law, local optimization theory, electric thruster, high-elliptical orbit, geostationary orbit, math model of controlled motion, Pontryagin's maximum principle.


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