The decentralized control of formation flying spacecraft in deep space based on LMI

A decentralized control strategy for formation flying spacecraft in deep space mission is proposed based on LMI. This scheme takes account of the difference between the deep space formation and the near-earth formation, and is converted into an LMI problem. In comparing with the traditional Riccati-LQR-based formation control, this scheme achieves the control target with higher accuracy, relieves the communication burden and reduces the fuel consumption. Simulation examples of the proposed scheme demonstrate the process of formation adjustment and provide the result analysis, while minimizing the fuel consumption and holding the position of formation centroid.