Prescribed-time spacecraft attitude control using time-varying state feedback
A time-varying feedback control law based on backstepping is proposed for the prescribed arbitrary time stabilization and tracking for a chain of integrators. Prescribed arbitrary time control permits the convergence time to be chosen regardless of the initial conditions or system parameters. The su...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
American Institute of Aeronautics and Astronautics
2023
|
| _version_ | 1825939844130406400 |
|---|---|
| author | Saini, Vikram K. Giri, Dipak Kumar Varatharajoo, Renuganth |
| author_facet | Saini, Vikram K. Giri, Dipak Kumar Varatharajoo, Renuganth |
| author_sort | Saini, Vikram K. |
| collection | UPM |
| description | A time-varying feedback control law based on backstepping is proposed for the prescribed arbitrary time stabilization and tracking for a chain of integrators. Prescribed arbitrary time control permits the convergence time to be chosen regardless of the initial conditions or system parameters. The sufficient condition is used to demonstrate Lyapunov stability for the system. Analytical results and explanations are provided for the influence of convergence time on the maximum needed control torque. Sliding mode control is paired with the time-varying feedback approach to make the control law robust to reject the bounded disturbance. The control law is then applied to a spacecraft’s attitude motion that is susceptible to the bounded disturbance. A quaternion-based attitude representation is utilized to avoid mathematical singularity. The control law is written using a full quaternion with four components instead of only three in the vector part. Finally, promising numerical simulation results are presented. |
| first_indexed | 2024-09-25T03:42:58Z |
| format | Article |
| id | upm.eprints-110274 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-09-25T03:42:58Z |
| publishDate | 2023 |
| publisher | American Institute of Aeronautics and Astronautics |
| record_format | dspace |
| spelling | upm.eprints-1102742024-07-04T06:27:12Z http://psasir.upm.edu.my/id/eprint/110274/ Prescribed-time spacecraft attitude control using time-varying state feedback Saini, Vikram K. Giri, Dipak Kumar Varatharajoo, Renuganth A time-varying feedback control law based on backstepping is proposed for the prescribed arbitrary time stabilization and tracking for a chain of integrators. Prescribed arbitrary time control permits the convergence time to be chosen regardless of the initial conditions or system parameters. The sufficient condition is used to demonstrate Lyapunov stability for the system. Analytical results and explanations are provided for the influence of convergence time on the maximum needed control torque. Sliding mode control is paired with the time-varying feedback approach to make the control law robust to reject the bounded disturbance. The control law is then applied to a spacecraft’s attitude motion that is susceptible to the bounded disturbance. A quaternion-based attitude representation is utilized to avoid mathematical singularity. The control law is written using a full quaternion with four components instead of only three in the vector part. Finally, promising numerical simulation results are presented. American Institute of Aeronautics and Astronautics 2023 Article PeerReviewed Saini, Vikram K. and Giri, Dipak Kumar and Varatharajoo, Renuganth (2023) Prescribed-time spacecraft attitude control using time-varying state feedback. Journal Of Spacecraft And Rockets, 60 (4). ISSN 0022-4650; ESSN: 1533-6794 https://arc.aiaa.org/doi/10.2514/6.2023-2172 10.2514/6.2023-2172 |
| spellingShingle | Saini, Vikram K. Giri, Dipak Kumar Varatharajoo, Renuganth Prescribed-time spacecraft attitude control using time-varying state feedback |
| title | Prescribed-time spacecraft attitude control using time-varying state feedback |
| title_full | Prescribed-time spacecraft attitude control using time-varying state feedback |
| title_fullStr | Prescribed-time spacecraft attitude control using time-varying state feedback |
| title_full_unstemmed | Prescribed-time spacecraft attitude control using time-varying state feedback |
| title_short | Prescribed-time spacecraft attitude control using time-varying state feedback |
| title_sort | prescribed time spacecraft attitude control using time varying state feedback |
| work_keys_str_mv | AT sainivikramk prescribedtimespacecraftattitudecontrolusingtimevaryingstatefeedback AT giridipakkumar prescribedtimespacecraftattitudecontrolusingtimevaryingstatefeedback AT varatharajoorenuganth prescribedtimespacecraftattitudecontrolusingtimevaryingstatefeedback |