Chaotic synchronization and parameter identification of fractional-order dynamical equation with attitude of spacecraft

The fractional-order equation which describes the attitude motion of a perturbed rigid spacecraft is studied. The chaotic characteristic is found from the fractional-order equation by selecting suitable parameter matrixes of perturbed torque. First, based on the fractional theory of stability and nonlinear dynamic theory, the nonlinear control moment and parameter identification rules are designed. And by the nonlinear control moment the chaotic synchronization that attitude of spacecraft with uncertain parameters are realized. At the same time, the uncertain parameters are identified. Second, based on the fractional-order theory of stability the synchronization is proved strictly in mathematics. Finally, by the Predictor-Corrector scheme numerical simulation, the validity of the presented method is verified.