The present application belongs to the technical field of space-borne
synthetic aperture radar, and particularly relates to a space-borne SAR
scene matching curve imaging electromechanical collaborative wave control optimization method based on Bernstein polynomial. Aiming at the problem that the mechanical scanning angle and its
angular velocity,
angular acceleration and endpoint constraint are difficult to meet throughout the whole process, and are difficult to approach the ideal beam pointing under the constraint, the ideal beam pointing three-axis angle sequence and the mechanical scanning / electric scanning constraint are obtained, the mechanical scanning three-axis angle is parameterized by Bernstein
basis function, the linear mapping of the angle and its first and second derivatives and Bernstein coefficients is established, and the above mechanical scanning constraint is uniformly converted into coefficient space linear equation / inequality constraint to form a convex feasible region, and the mechanical scanning sequence is solved by minimizing the fitting error in the 2-norm or infinite norm; then, the distance and
azimuth electric scanning angle sequences are calculated according to the electromechanical geometric relationship, the control instructions generated are sent to the attitude and antenna
control system, and are used for
scene matching imaging
beam scanning.