Distributed Generation and Control of Formation for Multiple Hypersonic Gliding Vehicles Based on Finite-Time Consensus Theory

With undirected communication topology, the problem of formation generation control for multiple hypersonic gliding vehicles (HGVs) is considered in this paper. Considering the characteristics of single HGV, the control problem of formation generation is addressed during the phase of entry gliding. In light of the finite-time consensus theory, the distributed formation generation control laws are devised according to the second-order finite-time consensus theory. Firstly, finite-time consensus control laws aimed at leader-follower multi-agent system are designed as virtual signals for multiple HGVs. Secondly, combining with the virtual signals that only use information of neighbors, a nonlinear equation is going to be solved to get the actual control signals, which means that the bank angle and attack angle for each HGV is derived. Due to the complexity and multiple variable coupling to solve the actual inputs, a feasible solution process for the calculation of actual input of the multiple HGVs systems is proposed. Meanwhile, to showcase the performance of the proposed formation generation control laws, numerical simulation results are executed.