Parameter-Dependent Lyapunov Function Method Applied to Satellite Formation Keeping Control

【摘要】：In this paper,a parameter-dependent Lyapunov function method is applied to design robust controller for a satellite formation flying system around the Earth based on an uncertainty model derived from a nonlinear relative position equation.In this model,nonzero eccentricity and varying semi-major axis are included as parametric uncertainties.Exogenous perturbations including J2 perturbation,atmospheric drag and actuation are bounded by functional uncertainties.The model can be regarded as a polytopic type uncertain system with 8 vertices,then the parameter-dependent Lyapunov function is proposed to design H2 and H∞controllers respectively to maintain the relative position of the formation flying system.The simulation demonstrates that the proposed controller can realize the control the satellites formation-keeping.