Abstract
In this paper, we introduce an adaptive sliding mode control (SMC) to deal with a finite-time convergence problem of a multiple inputs and multiple outputs (MIMO) system in the presence of uncertainties and/or external disturbances. The proposed controller is constructed by using the super-twisting sliding mode technique to eliminate a negative effect of the chattering phenomenon on the system. Additionally, an adaptive law is designed to guarantee a rapid adaptation and robust stability of the closed-loop system even without knowledge of the upper bound conditions of uncertainties/perturbations. The stability of a control system is investigated by the Lyapunov theorem. A great efficiency of the proposed algorithm is proven through a numerical simulation of a chaotic system.
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Acknowledgement
This research was supported by the MSIT (Ministry of Science and ICT), Korea, under the ITRC (Information Technology Research Center) support program (IITP-2021-2018-0-01424) supervised by the IITP (Institute for Information & communications Technology Promotion).
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Le Nhu Ngoc Thanh, H., Lee, C.H., Hong, S.K. (2022). Finite-Time Adaptive Sliding Control for a Class of Perturbed MIMO Nonlinear Systems. In: Al-Emran, M., Al-Sharafi, M.A., Al-Kabi, M.N., Shaalan, K. (eds) Proceedings of International Conference on Emerging Technologies and Intelligent Systems. ICETIS 2021. Lecture Notes in Networks and Systems, vol 299. Springer, Cham. https://doi.org/10.1007/978-3-030-82616-1_5
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DOI: https://doi.org/10.1007/978-3-030-82616-1_5
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