LMI-based control law for variable-speed control moment gyros in flexible spacecraft Online publication date: Fri, 27-Nov-2015
by Shinya Kasai; Hirohisa Kojima
International Journal of Space Science and Engineering (IJSPACESE), Vol. 3, No. 3, 2015
Abstract: A linear matrix inequality (LMI)-based control law for variable-speed control moment gyros (VSCMGs) for flexible spacecraft is proposed in this study. This proposed control law is designed by H∞ synthesis via LMI, considering the characteristics of the VSCMG system, the reaction wheel (RW), and vibration suppression. However, this proposed control law should be applied near the end of a manoeuvre because the control moment gyro (CMG) system is nonlinear and the proposed controller is a linear controller based on H∞ synthesis. In this study, to smoothly transition between the CMG and RW modes, the steering control law is designed as a gain-scheduled steering control law for the VSCMGs, which consists of the generalised singularity-robust term and the local gradient-based (LG) null motion term for the VSCMGs before the end of the manoeuvre. The numerical results show that the proposed steering law can effectively stabilise the attitude and suppress vibration.
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