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Adaptive synchronization of master–slave systems with mixed neutral and discrete time‐delays and nonlinear perturbations |
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| Authors: | Hamid Reza Karimi Mauricio Zapateiro Ningsu Luo |
| Affiliation: | 1. Institute of Mechatronics, Department of Engineering, Faculty of Engineering and Science, University of Agder, N‐4898 Grimstad, Norway;2. Department of Applied Mathematics III, Universitat Politècnica de Catalunya, Comte d'Urgell 187, 08036 Barcelona, Spain;3. Institute of Informatics and Applications, University of Girona, Campus de Montilivi, Ed. P4. 17071, Girona, Spain |
| Abstract: | This paper investigates the delay‐dependent adaptive synchronization problem of the master and slave structure of linear systems with both constant neutral and time‐varying discrete time‐delays and nonlinear perturbations based on the Barbalat lemma and matching conditions. An adaption law which includes the master‐slave parameters is obtained by using the Lyapunov functional method and inequality techniques to synchronize the master‐slave systems without the knowledge of upper bounds of perturbation terms. Particularly, it is shown that the synchronization speed can be controlled by adjusting the update gain of the synchronization signal. A numerical example has been given to show the effectiveness of the method. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
| Keywords: | Adaptive synchronization master‐slave systems delay nonlinear perturbations |