An adaptive regulation problem and its application to spacecraft systems

The asymptotic rejection of spacecraft systems under multi-tone sinusoidal disturbances has been studied recently for the case where the frequencies are known. In this paper, we first consider an adaptive regulation problem of a class of uncertain nonlinear systems. Then an application of this result to the spacecraft systems leads to the solution of the asymptotic rejection of spacecraft systems subject to multi-tone sinusoidal functions with unknown frequencies.