ASYMPTOTIC ANALYSIS OF CONTROL BASED ON THE LINEAR TANGENT LAW AT HIGH THRUST

封面

如何引用文章

全文:

开放存取 开放存取
受限制的访问 ##reader.subscriptionAccessGranted##
受限制的访问 订阅或者付费存取

详细

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.

作者简介

M. Bektybaeva

IPMech RAS; RUDN University; RUDN University

编辑信件的主要联系方式.
Email: bektybaeva@ipmnet.ru
Moscow, Russia; Moscow, Russia; Moscow, Russia

S. Reshmin

IPMech RAS

Email: reshmin@ipmnet.ru
Moscow, Russia

参考

  1. Lawden D.F. Dynamic Problems of Interplanetary Flight // Aeronautical Quarterly. 1955. V. 6. № 3. P. 165–180.
  2. Lawden D.F. Optimal Rocket Trajectories // Jet Propulsion. 1957. V. 27. P. 1263.
  3. Брайсон A., Хо Ю-ши. Прикладная теория оптимального управления. М.: Мир, 1972. 544 с.
  4. Охоцимский Д.Е., Энеев Т.М. Некоторые вариационные задачи, связанные с запуском искусственного спутника Земли // УФН. 1957. Т. 63. № 1. С. 5–32.
  5. Perkins F.M. Derivation of Linear-Tangent Steering Laws, Air Force Report No. SSD-TR-66-211 (Air Force Systems Command, Los Angeles, CA, 1966).
  6. Reshmin S.A., Bektybaeva M.T. Accounting for Phase Constraints During Intensive Acceleration // Mechanics of Solids. 2024. V. 59. № 8. P. 3913–3928.
  7. Zhou Y., Cholette M.E., Bhaskar A., Chung E. Optimal Vehicle Trajectory Planning With Control Constraints and Recursive Implementation for Automated On-Ramp Merging // IEEE Transactions on Intelligent Transportation Systems. V. 20. № 9. P. 3409–3420.
  8. Wang Q., Ge H., Duan X., Zhou J. An Optimal Control Based Trajectory Planning Method for Cooperative Merging Maneuvers // Intern. Sympos. on Intelligent Robotics and Systems (ISoIRS). Changsha, China: IEEE, 2023. P. 28–33.
  9. Gu M., Su Y., Wang C., Guo Y. Trajectory Planning for Automated Merging Vehicles on Freeway Acceleration Lane // IEEE Transactions on Vehicular Technology. 2024. V. 73. № 11. P. 16108–16124.
  10. Голубев А.Е. Стабилизация программных движений механических систем с учетом ограничений // Изв. РАН. ТиСУ. 2023. № 4. C. 111–125.
  11. Бортаковский A.C. Быстродействие группы управляемых объектов // Изв. РАН. ТиСУ. 2023. № 5. C. 16–42.
  12. Решмин С.А., Бектыбаева М.Т. Учет фазового ограничения при управлении разгоном динамического объекта по модифицированному закону линейного тангенса // Тр. Института математики и механики УрО РАН. 2024. Т. 30. № 2. С. 152–163.

补充文件

附件文件
动作
1. JATS XML

版权所有 © Russian Academy of Sciences, 2025