Hybrid control of a satellite with membrane antenna considering nonlinear vibration

Abstract

In this paper, the hybrid control of attitude maneuver and nonlinear vibration of a satellite with membrane antenna structure is studied. Considering the geometric nonlinearity of large-amplitude vibration, a nonlinear dynamic model of the membrane antenna structure is established, and then a reduced order nonlinear dynamic model is obtained by using the polynomial fitting method. Based on the hybrid coordinate method, the nonlinear rigid-flexible coupling dynamic model of the satellite with membrane antenna structure is built. An active control strategy which contains two subsystems (the attitude control subsystem and the nonlinear vibration suppression subsystem) is proposed to control the attitude maneuver and nonlinear vibration simultaneously. In the attitude control subsystem, component synthesis vibration suppression method combined with pulse width modulator is utilized to reduce the vibration of the membrane antenna structure during attitude maneuvers. And a nonlinear vibration suppression subsystem based the sliding mode control method is designed to suppress the nonlinear vibration further. Simulation results show that with these two subsystems working together, the nonlinear vibration of the membrane antenna structure can be suppressed effectively, and the accuracy of attitude maneuver of the satellite will be improved significantly.