A comprehensive design of input shaper (IS)-Finite time Disturbance Observer (FDO)-integral sliding mode controller is proposed for the active vibration suppression of flexible appendages and attitude control of flexible spacecraft, with high accuracy and fast convergence time. Firstly, an IS, which can be used to reduce flexible vibration, is obtained based on the frequency and damping information of flexible modes. The IS is convolved with reference inputs to get the desired reference commands. Then, based on the spacecraft dynamic model, a novel adaptive FDO is designed to guarantee accurate estimation of disturbance and residual vibration, which avoids the constraint that the upper bound must be known in advance and drives the estimation errors to zero in finite time. Finally, multivariable finite-time integral sliding mode controller is designed based on the estimations of FDO, which ensures the fast and high-precision tracking control of desired reference commands, and the strict stability proof is given. Simulation results show that the comprehensive design strategy can guarantee that the flexible vibration is suppressed by 75% and the attitude stability degree is up to 10-4.
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