Research on Formation Generation Algorithm of Hypersonic Gliding Vehicle Based on Fixed-time Sliding Mode Control

In this paper, the formation generation problem of multiple hypersonic gliding vehicles (HGVs) and its research basis are first presented. Subsequently, the formation coordinate system and the particle motion model as well as the dynamics model of HGVs are established. Then a multiple HGVs formation generation algorithm based on fixed-time sliding-mode control is proposed, in which a novel sliding-mode surface is first introduced, and by using a second-order intelligent body model, the virtual formation control inputs in the pilot-follower mode is derived, and the error is proved to be able to converge quickly by the Lyapunov function. Subsequently, the virtual control inputs are substituted into the actual kinematic model of the HGVs to obtain the actual control commands: the attack angle command and the bank angle command, which are applied to each HGV to realize the HGVs to achieve the desired formation shape. Finally, through numerical simulations, two formation flight modes are realized, and then the algorithm in this paper is simulated and compared with the common sliding mode control algorithm, which further verifies the effectiveness and superiority of the algorithm proposed in this paper in the problem of HGVs formation generation.