Residual vibration suppression of flexible spacecraft via optimal arbitrary time-delay filter combined with adaptive controller

The residual vibration is especially harmful for attitude control accuracy and stability of flexible spacecraft in the presence of dynamic uncertainty. In order to solve this problem, a scheme combined Optimal Arbitrary Time-delay Filter (OATF) with adaptive output feedback controller is investigated. The OATF which convolves the desired reference input with a sequence of impulses and produces a vibration-free output. The robustness of such an algorithm with respect to model parametric uncertainties can be improved by the output feedback control, while for the feedback loop, the adaptive controller is employed to counteract the internal uncertainties and external disturbances. The proposed scheme which is verified can reduce the residual vibration and adapt the variations of the model parameter through numerical simulations.