Abstract
The guidance problem of a confrontation between an interceptor, a hypersonic vehicle, and an active defender is investigated in this paper. As a hypersonic multiplayer pursuit-evasion game, the optimal guidance scheme for each adversary in the engagement is proposed on the basis of linear-quadratic differential game strategy. In this setting, the angle of attack is designed as the output of guidance laws, in order to match up with the nonlinear dynamics of adversaries. Analytical expressions of the guidance laws are obtained by solving the Riccati differential equation derived by the closed-loop system. Furthermore, the satisfaction of the saddle-point condition of the proposed guidance laws is proven mathematically according to the minimax principle. Finally, nonlinear numerical examples based on 3-DOF dynamics of hypersonic vehicles are presented, to validate the analytical analysis in this study. By comparing different guidance schemes, the effectiveness of the proposed guidance strategies is demonstrated. Players in the engagement could improve their performance in confrontation by employing the proposed optimal guidance approaches with appropriate weight parameters.
Highlights
In recent decades, the technology of hypersonic vehicles (HVs) developed rapidly and has drawn considerable attention among researchers
The maneuver of HVs relies on aerodynamic force only, which means that their overload and maneuverability are limited
These particular assumptions will cause potential problems in practical application, since the responding speed of HVs, whose overload is generated by aerodynamic force, is commonly low
Summary
The technology of hypersonic vehicles (HVs) developed rapidly and has drawn considerable attention among researchers. Ability of confrontation: developing guidance laws for one-on-one competition, or carrying defender vehicles and transforming the one-on-one confrontation into a multiplayer game As for the former, the one-on-one scenario has been researched extensively. Air-to-air missile guidance laws based on optimal control and differential game strategy were derived in. It can be seen that most of the above studies are based on ideal scenarios in which the response of adversaries is rapid, and the dynamics are assumed to be linear These particular assumptions will cause potential problems in practical application, since the responding speed of HVs, whose overload is generated by aerodynamic force, is commonly low. The main contribution of this paper is proposing linear-quadratic optimal guidance laws (LQOGLs) for adversaries in the game by simultaneously considering energy cost, control saturation, and chattering phenomenon. In the plane to three-dimensional models [25,26] and, will not be discussed here
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