Optimal Guidance Law with Multiple Constraints in Ground Strike

In order to study the problem of the precision guidance with multiple constraints in the modern air-to-surface weapon.The guidance law was respectively designed on the basis of dividing the 3D terminal movement of aerial vehicle into the movements of pitching plane and swerve plane.Considering the multi-constraint conditions of miss-distance,impact angular,orientation angular and system dynamics.The new guidance law was deduced by the Riccati equation of the quadratic optimal control,and approximate expression of zero-order lag-free system was given.The feasibility and the fine ballistics performance of the guidance law were verified by the simulations of the characteristic trajectory and the compare of guidance laws.The verified result shows that the optimal guidance law with multiple constraints is satisfied with the precision guidance in the multi-constraint conditions,and have more predominance of acceleration control in terminal phase and trajectory compensation in early phase.