ROBUST CONTROL OF SPACECRAFT FORMATION FLYING VIA VIRTUAL STRUCTURE
Shahbazi Bahareh, Maryam Malekzadeh, Koofigar Hamidreza · 2015
Original Research Paper Received 05 May 2015 Accepted 10 June 2015 Available Online 11 July 2015 In this paper, the spacecraft formation flying using virtual structure algorithm is studied. In spacecraft formation flying, several small spacecraft have been used instead of employing single one to achieve the same goal. In virtual structure method, the position and orientation of each spacecraft is measured with respect to position and attitude of virtual node in every moment. Two robust control methods are proposed to control formation. At first, the robust synthesis control method is used to attenuate the influence of the sensor noises, environment disturbances and parametric uncertainties but it is done with heavy computations. The second method is in the standard form of optimization problem. It is composed of state feedback controller and Lyapanov stability theory. The Linear Matrix Inequality (LMI) controller computations are very efficient and the controller is robust against parametric uncertainties and most of the disturbances. The implementation of control methods on virtual node guarantees robust stability and performance. Concerning actuator constraints, simulation example is provided to show the effectiveness of the proposed control schemes to track the desired attitude and position trajectories despite system uncertainties.