Title: Stabilisability of differential linear repetitive processes delayed systems with saturating control

Authors: Said Kririm; Abdelaziz Hmamed

Addresses: Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796 Fes-Atlas, Morocco ' Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796 Fes-Atlas, Morocco

Abstract: This paper is devoted to stability analysis of differential linear repetitive processes systems with state delays and input saturation. The domain of attraction resulting from an a priori designed state feedback law is analysed using Lyapunov-Krasovskii functional approach. Both delay-independent estimation of the domain of attraction are presented using the linear matrix inequality technique. The problem of designing linear state feedback laws such that the domain of attraction is enlarged is formulated and solved as an optimisation problem with LMI constraints. Numerical examples are used to demonstrate the effectiveness of the proposed design technique.

Keywords: differential repetitive processes; 2D systems; stability; state feedback control; Lyapunov functions; LMIs; linear matrix inequalities; state delays; input saturation; saturating control.

DOI: 10.1504/IJAAC.2017.083310

International Journal of Automation and Control, 2017 Vol.11 No.2, pp.207 - 221

Received: 25 May 2015
Accepted: 28 Aug 2016
Published online: 23 Mar 2017 *

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