Robust Nonsingular Terminal Sliding Mode Attitude Control of Satellites
Publication: Journal of Aerospace Engineering
Volume 34, Issue 1
Abstract
This paper proposes a time-varying nonsingular terminal sliding mode control (TVNTSMC) law to control the attitude of rigid spacecraft. It provides an advantage for users to stipulate convergence time beforehand, and the proposed control algorithm will ensure global robustness to uncertainties as well as to external disturbances. A minimal (three-dimensional) modified Rodrigues parameter (MRP) explanation is used to represent the dynamics of a rigid satellite; then, the state-space representation of the dynamics is developed by transforming the dynamics into Lagrangian form. MRPs are used to design a new nonlinear sliding surface. The attitude control algorithm is expressed by a piecewise continuous function with time-varying properties. The Lyapunov theory is used to calculate the convergence and settling time to reach the equilibrium point. The time-varying function parameters are derived from convergence time prespecified by the user, which will ensure the system trajectories converge to the origin within the time specified. The global finite-time stability of the overall system is presented using the Lyapunov theorem in the presence of external disturbance. The simulation results are presented for different convergence times as input by the user to show the efficacy of the proposed controller.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
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Published In
Journal of Aerospace Engineering
Volume 34 • Issue 1 • January 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jan 27, 2020
Accepted: Aug 24, 2020
Published online: Nov 5, 2020
Published in print: Jan 1, 2021
Discussion open until: Apr 5, 2021
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