cqvip:This paper aims to provide further study on thenonlinear modeling and controller design of formation flyingspacecraft in deep space missions. First, in the Sun-Earthsystem, the nonlinear formation dynamics for the circularrestricted three-body problem (CRTBP) and elliptic restrictedthree-body problem (ERTBP) are presented. Then, with theFloquet mode method, an impulsive controller is developedto keep the Chief on the desired Halo orbit. Finally, anonlinear adaptive control scheme based on Nonzero set-point LQR and neural network is proposed to achieve highprecision formation maneuver and keeping. The simulationresults indicate that the proposed nonlinear control strategyis reasonable as it considers not only the orbit keeping of theChief, but also the formation modeling inaccuracy. Moreover,the nonlinear adaptive control scheme is effective toimprove the control accuracy of the formation keeping.
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