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基于自适应控制的超混沌同步及其仿真(英文).docx

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基于自适应控制的超混沌同步及其仿真(英文) Title:AdaptiveControl-BasedHyperchaoticSynchronizationandItsSimulation Abstract: Thispaperproposesanadaptivecontrol-basedmethodforhyperchaoticsynchronization.Hyperchaoticsystemsareknownfortheirhighlycomplexdynamicsandexhibitmultiplecoexistingattractors.Hence,synchronizationofsuchsystemsisachallengingtask.Inthispaper,weuseanadaptivecontroltechniquetoovercomethischallenge.Theproposedmethodisappliedtotwohyperchaoticsystems-LorenzandRössler-todemonstrateitseffectiveness.Theproposedmethodisalsosimulatedtoverifyitsperformanceandsynchronizationbehavior.Simulationresultsshowthattheproposedadaptivecontrol-basedsynchronizationmethodcansynchronizehyperchaoticsystemseffectivelyandaccurately. Introduction: Sincethediscoveryofthechaoticphenomenon,synchronizationofchaoticsystemshasbecomeanactiveresearcharea.Synchronizationofchaoticsystemshasseveralapplicationsinsecurecommunications,cryptography,andotheradvancedtechnologies.However,synchronizationofhyperchaoticsystemsismorechallengingduetotheircomplexityandthepresenceofmultiplecoexistingattractors.Inthispaper,weproposeanadaptivecontrol-basedmethodforthesynchronizationofhyperchaoticsystems.Theproposedmethodisappliedtotwohyperchaoticsystems-LorenzandRössler. Methodology: Theproposedadaptivecontrol-basedmethodisappliedtotwohyperchaoticsystems-LorenzandRössler.Thestatevariablesofthehyperchaoticsystemsareestimatedusinganobserver.Theestimatedstatesarethenusedtodesigntheproposedadaptivecontrollaw.Theadaptivecontrollawisdesignedtodrivetheerrortozerobyadjustingthecontrolgain.Theadaptivecontrollawisexpressedintermsoftheestimatedstateandtheerrordynamics. Simulation: Theproposedadaptivecontrol-basedmethodissimulatedusingMatlab.Thesimulationresultsshowthattheproposedmethodcansynchronizethehyperchaoticsystemseffectivelyandaccurately.Thesynchronizationerrorapproacheszeroafterafewhundrediterations.TheconvergencerateoftheerrorisfasterfortheRösslersystemthantheLorenzsystem. Conclusion: Inthispaper,weproposedanadaptivecontrol-ba