Title: A new adaptive sliding mode control of nonlinear systems using Volterra series: application to hydraulic system

Authors: Anouar Benamor; Hassani Messaoud

Addresses: Laboratory of Automatic Signal and Image Processing, National School of Engineers of Monastir, University of Monastir, 5019, Tunisia ' Laboratory of Automatic Signal and Image Processing, National School of Engineers of Monastir, University of Monastir, 5019, Tunisia

Abstract: In this paper, we propose a new adaptive sliding mode control for nonlinear systems which are affine with respect to control and where the free term of state representation is assumed to be unknown and modelled using Volterra series. The proposed control law depends on the estimated parameters of Volterra series. The Lyapunov function was defined based on the sliding surface and the errors between the Volterra model parameters and their estimated values. The Lyapunov function is defined as positive and decreasing which shows the systems studied. An example of simulation and a validation on a real system are performed at the end of this paper to show the effectiveness of this approach.

Keywords: sliding mode; nonlinear; Lyapunov function; Volterra series.

DOI: 10.1504/IJMIC.2018.089617

International Journal of Modelling, Identification and Control, 2018 Vol.29 No.1, pp.44 - 52

Received: 17 Jun 2016
Accepted: 18 Oct 2016
Published online: 02 Feb 2018 *

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