Asymptotic Analysis of Control Based on the Linear Tangent Law at High Thrust

The article considers the motion of the controlled object, which performs a high-speed maneuver in a plane with constant thrust. The purpose of the maneuver is to maximize the velocity of movement along a given straight line in a finite specified time. The linear tangent law is used as a control law. The limiting form of the function is determined as a cubic polynomial for the lateral projection of the coordinate and a quadratic polynomial for the lateral projection of the velocity at infinitely large thrust, the asymptotic behavior of the integration constants is analyzed. Numerical modeling is performed for the corresponding functions, alternative suboptimal controls are proposed.