Dual-weighted differential game guidance law for miss distance and its rate of change

Abstract:

To further improve the rate of trajectory convergence, terminal miss distance and miss distance rate are defined as performance index for guidance law derivation based on linear quadratic differential game theory. The derivation results realize the control purpose of minimizing miss distance while maximizing miss distance convergence rate. The control systems of intercept missile and its target are modeled in a general sense, applicable to forms where both exhibit higher-order dynamic characteristics. The derivated guidance law has a wide general adaptability. The proposed guidance law is extended to the typical situation of missile and its target with one-order control system dynamics. A comparative analysis of nonlinear system simulations has been performed for proportional navigation, conventional differential game guidance law, and the dual-weighted differential game guidance law proposed in this study. The simulation scenarios include three types of maneuvers: constant-maneuvering, S-type maneuvering and random starting maneuvering of target. The single shot kill probability is used for guidance performance evaluation. The simulation results show the advantages of fast trajectory convergence rate and low acceleration requirements of the proposed guidance law. The proposed guidance law minimizes the miss distance while maximizing the trajectory convergence rate of the miss distance, achieveing the control purpose of fast trajectory convergence of interception missile.