On a deterministic terminal control method with predictive forecasting of mismatches in the boundary conditions

We consider the statement of a terminal control problem that partitions system state coordinates into two types: slowly varying coordinates, which occur in the boundary conditions, and control loop coordinates. We present a generalization of the theorem on the derivative of the mismatches in the boundary conditions. The system is discretized by using this generalization. A criterion for the resulting discrete system to be reducible to a linear system by a change of the control is proved. This result is used to synthesize a model predictive controller for the system. The algorithm has been numerically simulated for the problem of putting the center of mass of a rocket stage into a desired orbit in vacuum.