Three-Dimensional Adaptive Guidance Law Based on Robust Control Method

Abstract

In order to stabilize the required overload of last ballistic paragraph for the interception of high-speed and high-mobility targets, two types of three-dimensional adaptive proportional guidance algorithm are proposed in this paper. Through the establishment of three-dimensional kinematics equations which describe the moving relationships of the missile and target, the acceleration and velocity direction which relate with the target motion are treated as the amount of interference, which is compensated in the design of guidance law based on the application of Lyapunov stability theory of robust control methods, a three-dimensional adaptive variable structure guidance law and an augmented proportional guidance law are designed. in this paper, a method of estimating the acceleration and velocity direction of the target is given. Simulation results show that, in the last ballistic paragraph, the required overload of the adaptive variable structure guidance law and the augmented proportional guidance law is less than the pure proportional guidance law, the three-dimensional adaptive proportional navigation guidance algorithms have the apparent effect to stabilize the required overload, sight to target angular rate system has strong robustness, the shortcomings of the traditional PPNG method can be overcame.