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Robust stabilization of spacecraft attitude motion under magnetic control through time‐varying integral sliding mode
Author(s) -
Sofyalı Ahmet,
Jafarov Elbrous M.
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4586
Subject(s) - control theory (sociology) , attitude control , robustness (evolution) , spacecraft , sliding mode control , lyapunov function , underactuation , integral sliding mode , sylvester's law of inertia , inertia , robust control , computer science , control system , control engineering , engineering , control (management) , physics , symmetric matrix , nonlinear system , aerospace engineering , classical mechanics , electrical engineering , artificial intelligence , quantum mechanics , biochemistry , chemistry , eigenvalues and eigenvectors , gene
Summary Magnetic spacecraft attitude control is suitable for missions with moderate pointing and stabilization requirements. It would be especially preferable if an implemented three‐axis magnetic control law guarantees global and moreover robust stabilization. Motivated by this consideration, in this work, the integral sliding mode control method is successfully applied to the purely magnetic attitude control problem for the first time in literature. The resulting magnetic integral sliding mode control system, which is designed via Lyapunov's direct method by taking the four major environmental disturbance torques and the full inertia matrix uncertainty into account, has the expected insensitivity against environmental disturbances in the plane of continuous actuation. Along the instantaneous direction of underactuation, which continuously varies in control space as the satellite moves along the orbit, there is no counteraction to perturbations. However, as seen in the results of the high‐fidelity simulation, state trajectories are ultimately bounded in the vicinity of the reference state independently from the initial state thanks to the proven robustness of the global stability. Performance robustness of the obtained control system against disturbances and model uncertainty is evaluated to be superior through a couple of comparisons with existing control laws even though it is partial due to the intrinsic underactuation in the system.