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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Main Authors: Nguyen Xuan-Mung, Mehdi Golestani, Sung Kyung Hong
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/1/247
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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.
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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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