The Multi-Dimensionals Optimal Guidance Law Irrelevant to Distance for Practical Applications

In order to realize the optimal guidance of the optical imaging seeker, we derived the multidimensional optimal guidance law which is irrelevant to distance, according to the features of strap-down guidance and control system design. First, a pitch rate-input optimal guidance dynamic system was established to consist with the line of sight angle (LOS angle) approximate integral proportional navigation law. Then we solve the optimal control problem with calculus of variations considering the medium-terminal guidance acceleration effects in the handover of the medium-terminal guidance. Finally, an analysis of the guidance requirements and guidance rates irrelevant to guided flight time was given in this paper. The result shows that calculus of variations can help us obtain more control dimensions of optimal guidance law and it is easy to calculate and apply.