Journal
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
Volume 45, Issue 11, Pages 1833-1848Publisher
WILEY
DOI: 10.1002/cta.2353
Keywords
chaotic system; robust control; synchronization; chaotic circuit; time-delay estimation; backstepping
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Funding
- DGIST R&D Program of the Ministry of Education, Science and Technology of Korea [11-IT-01]
- Ministry of Education, Science & Technology (MoST), Republic of Korea [11-IT-01] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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We propose a robust control technique for regulation and synchronization of the generalized Lorenz system (GLS) that covers the Lorenz system, Chen system and Lu system. The proposed control provides synergy through the combination of the backstepping control and time-delay estimation (TDE) technique. TDE is used to estimate and cancel nonlinearities and uncertainties while the backstepping method is adopted to provide robustness against matched and mismatched uncertainties. As a result, we observe in numerical simulation that the proposed technique shows better performances in regulating and synchronizing the GLS with mismatched uncertainties, in comparison with existing schemes. The efficacy of the proposed technique is also validated with a circuit-implemented chaotic system. Copyright (c) 2017 John Wiley & Sons, Ltd.
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