This paper investigates the chaos synchronization problem for a class of uncertain unified chaotic systems with external disturbances. Based on the proportional-integral (PI) switching surface, a sliding mode controller (SMC) is derived to not only guarantee the occurrence of a sliding motion of error states, but also reduce the effect of external disturbances to an H∞-norm performance. Also, a new reaching law is introduced to reduce the chattering problem that is produced by traditional sliding mode control. The parameters necessary for constructing both PI switching surface and the SMC can be found by the linear matrix inequality (LMI) optimization technique. Finally, a numerical simulation is presented to show the effectiveness of the proposed method.
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ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
July 12–14, 2010
Istanbul, Turkey
Conference Sponsors:
- International
ISBN:
978-0-7918-4919-4
PROCEEDINGS PAPER
Synchronization of Unified Chaotic System by Robust H∞/Sliding Mode Control Available to Purchase
Omolbanin Yazdanbakhsh,
Omolbanin Yazdanbakhsh
Islamic Azad University of Najafabad, Isfahan, Iran
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Saeid Hoseinia
Saeid Hoseinia
Isfahan University of Technology, Isfahan, Iran
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Omolbanin Yazdanbakhsh
Islamic Azad University of Najafabad, Isfahan, Iran
Saeid Hoseinia
Isfahan University of Technology, Isfahan, Iran
Paper No:
ESDA2010-24551, pp. 163-169; 7 pages
Published Online:
December 28, 2010
Citation
Yazdanbakhsh, O, & Hoseinia, S. "Synchronization of Unified Chaotic System by Robust H∞/Sliding Mode Control." Proceedings of the ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 5. Istanbul, Turkey. July 12–14, 2010. pp. 163-169. ASME. https://doi.org/10.1115/ESDA2010-24551
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