Formation Control and Stability Analysis of Spacecraft: An Energy Concept–Based Approach
In this paper, the spacecraft formation control and its stability problems are studied on the basis of the energy concept. The formation systems are viewed as a multi-mass point system with both generalized elastic deformation and rigid body movement, and certain potential fields interact with each other within the formation. Consequently, the stability of formation and coordination and the controller design problems are studied from the perspectives of energy. The symmetry in formation motion is studied, and the definition of formation stability and its corresponding criteria are presented based upon the notion of relative equilibrium. Then, the artificial potential method is explored to design the formation control law, and the stability of which is followed by utilizing the former criterions. The effectiveness of the proposed formation control approach is also demonstrated by numerical results.
KeywordsFormation control Energy concept Stability analysis Spacecraft
This work was financially supported by the Tsinghua Self-innovation Project (Grant No: 20111081111) and the National Natural Science Foundation of China (Grant Nos: 2009CB724000, 2012CB821206, 61202332, 61203354).
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