Chaotic Control And Formation Flying Synchronization Of A Magnetic Rigid Spacecraft Attitude Motion

Since Lorenz chaotic attractor was first presented in atmosphere research in 1963,due to its great potential application,nonlinear dynamics and chaos theory have received wide attention from researchers in various scientific areas such as secure communication,financial systems,chemical systems and meteorological systems.In the 21 st century,with the rapid development of aerospace engineering,the stability of spacecraft attitude motion has also attracted increasing attention.Numerous models have been established for the simulation and control of the spacecraft attitude motion in an orbit to ensure its long-term stability.Moreover,the control and synchronization of the spacecraft chaotic attitude motion is an essential subject in the formation flying field.In the attitude control of a single spacecraft,the chaotic period control of spacecraft attitude motion in an elliptic orbit was realized using a stability criterion method controller for linear systems.Based on their previous study,this paper investigates the chaotic projective period control of this spacecraft attitude motion by introducing a scaling factor.The chaotic motion can thus be controlled to a projective period orbit,and the amplitude of period motion can also be amplified or reduced by adjusting the scaling factor.The numerical simulation results show that the chaotic period control of different scaling factors can be realized quickly,and the steady state errors are small with high precision.In addition,a nonlinear coupling function is applied to each attitude motion equation of magnetic rigid spacecrafts moving in a circular orbit,realizing the chaotic attitude synchronization of spacecraft formation flying.According to the convergence conditions of synchronization errors,the standard values of coupling coefficients are presented to theoretically keep all spacecrafts in the formation synchronization.The numerical simulation results show that when the coupling coefficients are chosen within a neighborhood of the standard values,partial spacecraft attitude synchronization occurs in the formation.For example,when the coupling coefficient of complete synchronization between central spacecrafts is changed,the attitude motions of sub-spacecrafts in the star systems are synchronized,but unsynchronized with the central spacecrafts.The numerical simulation results of the single spacecraft projective period control and the spacecraft formation flying attitude synchronization verify the effectiveness of the linear system stability criterion method,and provide a reference for the spacecraft system design and formation flying attitude control.