3-Dimensional Nonlinear Differential Game-based Guidance Law Against High-speed Maneuvering Target

Abstract

To intercept hypersonic aircraft effectively,a 3-dimensional differential game-based guidance law using predictive control was proposed. The terminal interception for high-speed maneuvering target was formulated as a zero-sum differential game with line-of-sight angle rate and fuel consumption as performance index. Under the framework of nonlinear model predictive-control,the decision-constrained finite-horizon differential game was solved in real time by gradient descent algorithm,and the optimal action was obtained. The guidance law enables accurately intercepting target in compliance with highly dimensional nonlinear dynamic systems,maneuverability constraints and fuel consumption limits. With fuel consumption similar to that of proportional guidance law,the proposed guidance law has the advantages of straighter trajectory and higher guidance accuracy.