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Control and synchronization of the generalized Lorenz system with mismatched uncertainties using backstepping technique and time-delay estimation

Title
Control and synchronization of the generalized Lorenz system with mismatched uncertainties using backstepping technique and time-delay estimation
Authors
Kim, DongwonJin, MaolinChang, Pyung Hun
Issue Date
2017
Citation
International Journal of Circuit Theory and Applications
Type
Article
Article Type
Article in Press
Keywords
Back Stepping ControlsBack Stepping MethodBacksteppingBackstepping TechniqueChaotic CircuitsChaotic SystemsDelay CircuitsDelay Control SystemsGeneralized Lorenz SystemMismatched UncertaintyRobust ControlRobust Control TechniquesSynchronizationTime DelayTime Delay Estimation (TDE)Uncertainty Analysis
ISSN
0098-9886
Abstract
We propose a robust control technique for regulation and synchronization of the generalized Lorenz system (GLS) that covers the Lorenz system, Chen system and Lü 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. © 2017 John Wiley & Sons, Ltd.
URI
http://hdl.handle.net/20.500.11750/4452
DOI
10.1002/cta.2353
Publisher
John Wiley and Sons Ltd
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