alizadehsani-robustadaptive-2020.pdf (10.08 MB)
Robust adaptive synchronization of a class of uncertain chaotic systems with unknown time-delay
journal contribution
posted on 2020-01-01, 00:00 authored by A Zare, S Z Mirrezapour, M Hallaji, A Shoeibi, M Jafari, N Ghassemi, Roohallah AlizadehsaniRoohallah Alizadehsani, A MosaviIn this paper, a robust adaptive control strategy is proposed to synchronize a class of uncertain chaotic systems with unknown time delays. Using Lyapunov theory and Lipschitz conditions in chaotic systems, the necessary adaptation rules for estimating uncertain parameters and unknown time delays are determined. Based on the proposed adaptation rules, an adaptive controller is recommended for the robust synchronization of the aforementioned uncertain systems that prove the robust stability of the proposed control mechanism utilizing the Lyapunov theorem. Finally, to evaluate the proposed robust and adaptive control mechanism, the synchronization of two Jerk chaotic systems with finite non-linear uncertainty and external disturbances as well as unknown fixed and variable time delays are simulated. The simulation results confirm the ability of the proposed control mechanism in robust synchronization of the uncertain chaotic systems as well as to estimate uncertain and unknown parameters.
History
Journal
Applied SciencesVolume
10Issue
24Article number
8875Pagination
1 - 14Publisher
MDPILocation
Basel, SwitzerlandPublisher DOI
ISSN
2076-3417eISSN
2076-3417Language
engPublication classification
C1 Refereed article in a scholarly journalUsage metrics
Categories
No categories selectedKeywords
adaptive controllerchaos theorychaotic systemChemistryChemistry, MultidisciplinaryEngineeringEngineering, MultidisciplinaryLyapunov theoryMaterials ScienceMaterials Science, MultidisciplinaryOBSERVERPhysical SciencesPhysicsPhysics, Appliedrobust synchronization uncertaintyScience & TechnologySLIDING-MODE CONTROLTechnologyunknown time-delayed chaotic system
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC