Secure Control for Spacecraft Relative Dual Quaternion Systems with Denial-of-Service Attacks

This paper studies the secure control scheme for spacecraft relative dual quaternion system with denial-of-service attack on actuator. Spacecraft attitude and orbit system is a multi-dimensional complex system that integrates six degrees of freedom, coupling dynamics, and complex nonlinearity. Owing to the existence of network communications, spacecraft control system displays vulnerability to denial-of-service attacks. Some existing results require the rigorous assumption of the reliable system input signal, in which the actuator signal does not involve security communication burden. Based on the dual quaternions and dual rotation vectors, the model of a relative dual quaternion system with attack is constructed, and the attack time and frequency are considered in the plant. A recursive scheme is developed to design the control law, and the stability of system under denial-of-service attacks is studied. The parameter requirements are given to guarantee the convergence of the dualquaternion error, and the ultimate uniform boundedness of the spacecraft relative dual-quaternion system is proved in the whole period. Finally, a numerical simulation is carried out to verify the effectiveness of the proposed scheme.