Delay-dependent stability and stabilisation of continuous 2D delayed systems with saturating control |
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Authors: | Abdelaziz Hmamed Said Kririm Abdellah Benzaouia |
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Affiliation: | 1. Laboratory of Electronics, Systems, Signals and Informatics (LESSI), Faculty of Sciences Dhar El Mehraz, Fes-Atlas, Morocco;2. Department of Physics, Faculty of Sciences Semlalia, University Cadi Ayyad, Marrakech, Morocco |
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Abstract: | This paper deals with the stabilisation problem of continuous two-dimensional (2D) delayed systems, in the presence of saturations on the control signals. For this, a new delay decomposition approach is proposed to deal with the stability and stabilisation issues. The idea is that the range of variation of each delay is divided into segments, and a specific Lyapunov– Krasovskii functional is used that contains different weight matrices in each segment. Then, based on this approach, new delay-dependent stability and stabilisation criteria for continuous 2D delayed systems are derived. These criteria are less conservative and include some existing results as special cases. Some numerical examples are provided to show that a significant improvement is achieved using the proposed approach. |
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Keywords: | 2D delayed systems continuous 2D systems Roesser model delay-dependent conditions state-feedback control Lyapunov–Krasovskii functional control saturation linear matrix inequalities (LMIs) |
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