A Cooperative Guidance Approach Based on the Finite-Time Control Theory for Hypersonic Vehicles

다국어 초록 (Multilingual Abstract)

A distributed time cooperative guidance method based on the finite-time control theory is proposed to solve the salvo attack problem of multi-hypersonic vehicles in the three-dimensional space. Firstly, the second-order system is defined with the relative distance and the total leading angle as the state variables, and the finite-time controller is designed based on the multi-agent cooperative control theory for achieving the consistency of system. Novelty, taking the influence of parameters on the cooperative guidance results into account, an adaptive weight function is designed to replace the traditional constant coefficient to optimize guidance results. Then, the motion of vehicle in three-dimensional space is divided into two planes, the proportional navigation guidance (PNG) is applied in longitudinal and the lateral acceleration can be obtained via the finite-time controller and longitudinal acceleration. It is significant to establish the lateral leading angle finite-time convergence guidance law to compensate the lateral acceleration to accelerate the convergence speed. Furthermore, the biased term of terminal impact angle control is applied in PNG to achieve the terminal attack in arbitrary angle. Finally, the feasibility and robustness are verified by numerical simulations.