Nonlinear relative position control of precise formation flying using polynomial eigenstructure assignment

Abstract A nonlinear relative position control algorithm is designed for spacecraft precise formation flying. Taking into account the effect of J 2 gravitational perturbations and atmospheric drag, the relative motion dynamic equation of the formation flying is developed in a quasi-linear parameter-varying (QLPV) form without approximation. Base on this QLPV model, polynomial eigenstructure assignment (PEA) is applied to design the controller. The resulting PEA controller is a function of system state and parameters, and produces a closed-loop system with invariant performance over a wide range of conditions. Numerical simulation results show that the performance can fulfill precise formation flying requirements.

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