Title: Robust exponential stabilisation of a class of nonlinear systems using a novel technique of higher order sliding mode control

Authors: Abdelhak Msaddek; Abderraouf Gaaloul; Faouzi M'sahli

Addresses: National School of Engineers of Monastir, University of Monastir, Avenue Ibn Jazzar 5019, Monastir, Tunisia; ISET Tozeur, Route de Nafta, Tozeur 2210, Tunisia ' National School of Engineers of Monastir, University of Monastir, Avenue Ibn Jazzar 5019, Monastir, Tunisia; College of Techniques at Taif, Rmida, Taif, Kingdom of Saudi Arabia ' ENIM, Monastir 5019, Tunisia

Abstract: In this work, we propose a novel technique of higher order sliding mode control in order to solve the problem of chattering phenomenon which appears, generally, with standard sliding mode controller. The proposed approach provides an exponential stability on the sliding surface and guarantees the robustness of the closed loop system against uncertainties and external matched disturbances. The resulting controller has been applied to control an induction motor. Numerical simulations are developed to show the effectiveness of the proposed approach.

Keywords: nonlinear systems; higher order SMC; sliding mode control; induction motors; chattering; robust stabilisation; exponential stabilisation; uncertainties; disturbances; numerical simulation.

DOI: 10.1504/IJMIC.2014.064287

International Journal of Modelling, Identification and Control, 2014 Vol.22 No.2, pp.115 - 125

Available online: 14 Aug 2014 *

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