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

This article studies a secure control scheme for a spacecraft relative dual-quaternion system with denial-of-service attack on an actuator. The spacecraft attitude and orbit system is a multidimensional complex system that integrates six degrees of freedom, coupling dynamics, and complex nonlinearity. Due to the existence of network communications, the spacecraft control system displays vulnerability to denial-of-service attacks. Some existing results require the rigorous assumption of a reliable system input signal, in which the actuator signal does not involve security communication burden. Based on dual quaternions and dual rotation vectors, a model of the 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 the system under denial-of-service attacks is studied. Parameter requirements are given to guarantee the convergence of the dual-quaternion 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.