Mohammad R. Izadi,∗ Ali Shakib,∗∗ and Saman Saki∗∗∗
Formation flying, H∞ control, state feedback control, linear matrixinequality, model uncertainty
To make thorough use of satellite formation technology benefits, accurate control with reliable performance is required. However, model uncertainties and external disturbances influence both reli- ability and performance criteria which are a well-known challenge through the control system design. In this article, a robust H∞ state feedback control is developed using the Lyapunov stability theory and linear matrix inequality approach to handle the forma- tion flying position control when dealing with the input saturation. The proposed control law guarantees the H∞ performance of the relative motion dynamics in the presence of the parametric uncer- tainties, un-modelled dynamics, and also the disturbances coming from the atmospheric drag and earth non-spherical mass distribu- tion. Finally, the results of the numerical simulations demonstrate the effectiveness of the given method.
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