Optimal Circular Impact Time Guidance

To address the guidance problem of intercepting targets at the desired impact time, an optimal circular impact time guidance law is proposed in this paper. The proposed approach is designed by augmenting circular guidance with the well-justified predictor-corrector concept. Different from the existing circular impact time guidance (CITG) laws, the proposed method exactly predicts the impact time of circular guidance without any linearization, and corrects it by minimizing a quadratic integral index proportional to the total control effort. Hence, the proposed approach is more efficient in regulating the impact time. Theoretical analysis is provided to reveal the convergence properties of the predicted impact time and heading error. Comparative simulations are performed to validate the availability and superiority of the proposed method.