Title: Suppression of chaos in the spin-orbit problem of Enceladus via robust adaptive sliding mode control

Authors: Israr Ahmad; A. Othman Almatroud; M. Mossa Al-Sawalha

Addresses: Department of General Requirements, University of Technology and Applied Sciences, Ministry of Higher Education, Oman ' Department of Mathematics, Faculty of Science, University of Hail, Kingdom of Saudi Arabia ' Department of Mathematics, Faculty of Science, University of Hail, Kingdom of Saudi Arabia

Abstract: This paper proposes a new robust adaptive sliding mode control (RASMC) technique and investigates the control of chaos in the two-dimensional uncertain spin-orbit problem of Enceladus (SOPE) in the presence of external disturbances and model uncertainties. The external disturbances, model uncertainties, and nonlinear terms of the system are bounded and unknown. The proposed RASMC technique: 1) accomplishes oscillation free and fast convergence of the state variables to the origin; 2) suppresses chattering in the control inputs. The Lyapunov stability theory verifies the convergence behaviour and guarantees the robust asymptotic stability of the equilibrium point at the origin. In the sense of Lyapunov function, this article also provides parameters adaptation laws that confirm the convergence of uncertain parameters to some constants. The computer simulation results verify the theoretical findings and provide comparative analysis. The results of this study could be beneficial in the area of space sciences.

Keywords: control of chaos; Lyapunov stability theory; robust adaptive sliding mode control; RASMC; spin-orbit problem of Enceladus; SOPE; uncertain parameters.

DOI: 10.1504/IJAAC.2021.116429

International Journal of Automation and Control, 2021 Vol.15 No.4/5, pp.631 - 648

Received: 10 Mar 2020
Accepted: 04 May 2020
Published online: 23 Jul 2021 *

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