Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach
This paper presents an adaptive constrained attitude control for uncertain spacecraft. Inspired by the concept of nonsingular terminal sliding mode control and funnel control for nonlinear systems, a novel adaptive attitude control is introduced which contains a time-varying gain to handle the const...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/1/247 |
| _version_ | 1827617344344555520 |
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| author | Nguyen Xuan-Mung Mehdi Golestani Sung Kyung Hong |
| author_facet | Nguyen Xuan-Mung Mehdi Golestani Sung Kyung Hong |
| author_sort | Nguyen Xuan-Mung |
| collection | DOAJ |
| description | This paper presents an adaptive constrained attitude control for uncertain spacecraft. Inspired by the concept of nonsingular terminal sliding mode control and funnel control for nonlinear systems, a novel adaptive attitude control is introduced which contains a time-varying gain to handle the constraints imposed on the spacecraft attitude. Indeed, when the attitude trajectory approaches the boundary of the constraint set, the control effort as well as the time-varying gain will increase in order to preclude the trajectory from intersecting the boundary. Then, it is analytically proved that the system trajectories converge to an arbitrary small region around the origin within a fixed time where the smallest upper bound of the convergence time is determined as an independent parameter in the controller. Further, the proposed control scheme is nonsingular without having to use any piecewise continuous function which simplifies stability analysis. These properties distinguish the proposed control scheme from the existing finite/fixed-time attitude controls. Finally, several simulation results confirm the robustness and performance of the proposed control framework. |
| first_indexed | 2024-03-09T09:44:32Z |
| format | Article |
| id | doaj.art-43a40663ca6946cab26e7a17757cde39 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:44:32Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-43a40663ca6946cab26e7a17757cde392023-12-02T00:39:59ZengMDPI AGMathematics2227-73902023-01-0111124710.3390/math11010247Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control ApproachNguyen Xuan-Mung0Mehdi Golestani1Sung Kyung Hong2Faculty of Mechanical and Aerospace Engineering, Sejong University, Seoul 05006, Republic of KoreaDepartment of Electrical Engineering, Iran University of Science and Technology, Tehran 16844, IranFaculty of Mechanical and Aerospace Engineering, Sejong University, Seoul 05006, Republic of KoreaThis paper presents an adaptive constrained attitude control for uncertain spacecraft. Inspired by the concept of nonsingular terminal sliding mode control and funnel control for nonlinear systems, a novel adaptive attitude control is introduced which contains a time-varying gain to handle the constraints imposed on the spacecraft attitude. Indeed, when the attitude trajectory approaches the boundary of the constraint set, the control effort as well as the time-varying gain will increase in order to preclude the trajectory from intersecting the boundary. Then, it is analytically proved that the system trajectories converge to an arbitrary small region around the origin within a fixed time where the smallest upper bound of the convergence time is determined as an independent parameter in the controller. Further, the proposed control scheme is nonsingular without having to use any piecewise continuous function which simplifies stability analysis. These properties distinguish the proposed control scheme from the existing finite/fixed-time attitude controls. Finally, several simulation results confirm the robustness and performance of the proposed control framework.https://www.mdpi.com/2227-7390/11/1/247spacecraft attitude controlsliding mode controlconstrained controlfixed-time stability |
| spellingShingle | Nguyen Xuan-Mung Mehdi Golestani Sung Kyung Hong Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach Mathematics spacecraft attitude control sliding mode control constrained control fixed-time stability |
| title | Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach |
| title_full | Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach |
| title_fullStr | Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach |
| title_full_unstemmed | Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach |
| title_short | Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach |
| title_sort | constrained nonsingular terminal sliding mode attitude control for spacecraft a funnel control approach |
| topic | spacecraft attitude control sliding mode control constrained control fixed-time stability |
| url | https://www.mdpi.com/2227-7390/11/1/247 |
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