Indirect Optimization of Underactuated Spacecraft Formation Reconfiguration in Elliptic Orbits

2021 ◽  
Vol 34 (1) ◽  
pp. 04020086
Author(s):  
Xu Huang ◽  
Liangliang Chen
Author(s):  
Xu Huang ◽  
Ye Yan ◽  
Yang Zhou

Feasibility of underactuated formation reconfiguration in elliptic orbits without radial or in-track thrust is investigated in this paper. For either underactuated case, by using a linear time-varying dynamical model of spacecraft formation, controllability and feasibility analyses are conducted, based on which the preconditions on reconfigurable formations are then derived. With the inherent coupling of system dynamics, the reduced-order sliding mode control technique is employed to design a closed-loop underactuated controller for either case. To ensure the stability of the closed-loop system, the conditions imposed on the controller parameters are derived, and the parameter adaptation laws are then solved analytically. Meanwhile, the explicit relationships between the steady accuracies of system states and the controller parameters are obtained via a Lyapunov-based approach. Numerical examples are simulated in a J2-perturbed environment to validate the theoretical analyses. The results indicate that by using the proposed control schemes, underactuated reconfiguration in elliptic orbits is still feasible even in the absence of radial or in-track thrust and in the presence of unmatched disturbances.


2018 ◽  
Vol 160 ◽  
pp. 05011
Author(s):  
Chao Li Ye Yan ◽  
Yue-neng Yang

Spacecraft formation flight refers to two or more spacecraft according to a certain formation or arrangement of flight, it has important application value for deep spatial exploration, spatial science experiment, ground investigation and military and so. This paper studies the spacecraft formation flight design and formation reconfiguration based on STK. Firstly, the Clohessy-Wiltshire (CW) equation is used to describe the relative motion of the near-circular orbit and deduce the relative orbital dynamics model. Then, based on the dynamic method of the CW equation, the spatial circular formation is designed and the STK is applied to simulate it. Finally, based on the above formation, a simple multi-impulse formation reconfiguration is performed and the simulation test is verified by STK. The simulation results show that the absolute error of orbital elements of the spacecraft is calculated by the relative orbital dynamics model is less than 10-5, and the expected formation can be completed under the condition of two-body environment, and the feasibility of simple multi-pulse formation reconfiguration is proved successfully.


2018 ◽  
Vol 90 (1) ◽  
pp. 166-174
Author(s):  
Baolin Wu ◽  
Xibin Cao

Purpose This paper aims to address the problem of formation control for spacecraft formation in elliptic orbits by using local relative measurements. Design/methodology/approach A decentralized formation control law is proposed to solve the aforementioned problem. The control law for each spacecraft uses only its relative state with respect to the neighboring spacecraft it can sense. These relative states can be acquired by local relative measurements. The formation control problem is converted to n stabilization problems of a single spacecraft by using algebraic graph theories. The resulting relative motion model is described by a linear time-varying system with uncertain parameters. An optimal guaranteed cost control scheme is subsequently used to obtain the desired control performance. Findings Numerical simulations show the effectiveness of the proposed formation control law. Practical implications The proposed control law can be considered as an alternative to global positioning system-based relative navigation and control system for formation flying missions. Originality/value The proposed decentralized formation control architecture needs only local relative measurements. Fuel consumption is considered by using an optimal guaranteed cost control scheme.


Automatica ◽  
2011 ◽  
Vol 47 (7) ◽  
pp. 1443-1449 ◽  
Author(s):  
Rune Schlanbusch ◽  
Raymond Kristiansen ◽  
Per J. Nicklasson

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