A discrete repetitive sliding mode multicontrol for non-linear systems

Dehri Khadija, Messaoud Anis and Ben Abdennour Ridha

International Journal of Systems Science, 2021, vol. 52, issue 9, 1761-1779

Abstract: The identification and the design of an accurate control are still an active researches of nonlinear systems subject to harmonic disturbances. In this paper, we propose two techniques to deal with nonlinear system identification and control problems. First, a new identification scheme based only on input/output measurements is proposed. In this scheme, an adaptive filter is used to extract the periodic disturbance and the non-perturbed system dynamics from the real output. Then, a multimodel approach is adopted to obtain the models base of the real non-perturbed system. Secondly,the models base is used to develop a multi-model sliding mode control (MM-SMC). Thereafter, the structure of plug-in repetitive control is incorporated into the MM-SMC to ensure good closed loop performances in terms of harmonic disturbance rejection and tracking in the case of nonlinear systems. Simulation results of two numerical examples shows the effectiveness of the proposed identification and control strategies in spite the presence of nonlinearities and harmonic disturbances.

Date: 2021
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DOI: 10.1080/00207721.2020.1870017

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