Algebraic solution of differential geometric guidance command and time delay control

According to the three-dimensional geometry of the engagement, the explicit algebraic expression of differential geometric guidance command (DGGC) is proposed. Compared with the existing solutions, the algebraic solution is much simpler and better for the further research of the characteristics of DGGC. Time delay control (TDC) is a useful method to tackle the uncertainty problem of a control system. Based on TDC, taking the target maneuvering acceleration as a disturbance, the estimation algorithm of the target maneuvering acceleration is presented, which can be introduced in DGGC to improve its performance. Then, the augmented DGGC (ADGGC) is obtained. The numerical simulation of intercepting a high maneuvering target is conducted to demonstrate the effectiveness of ADGGC.