基于神经网络有限时间观测器的激光混沌系统同步控制研究-豆柴文库

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基于神经网络有限时间观测器的激光混沌系统同步控制研究
Abstract
Inrecentyears,thesynchronizationcontrolofchaoticsystemshasbeenwidelystudiedduetoitsimportantapplicationsinsecurecommunicationandcryptography.Thispaperproposesasynchronizationcontrolmethodforalaserchaoticsystembasedonaneuralnetworkfinite-timeobserver.Thechaoticsystemisrepresentedbyasetofordinarydifferentialequations,andaneuralnetworkistrainedtoestimatethestatesofthechaoticsystem.Byintroducingacontrollawderivedfromtheobserver,thestatesoftheslavesystemcanbedriventosynchronizewiththemastersysteminfinitetime.Simulationresultsdemonstratetheeffectivenessandrobustnessoftheproposedmethod.
Introduction
Chaoticsystemshavecomplex,unpredictablebehaviorsthatmaketheminterestingsubjectsofstudy.Inrecentyears,researchershavefocusedonthesynchronizationcontrolofchaoticsystems,whichhasimportantapplicationsinsecurecommunication,cryptography,andotherareas.Oneofthemostwidelystudiedchaoticsystemsisthelaserchaoticsystem,whichisanon-linear,dynamicsystemwithcomplexattractorsandsensitivedependenceoninitialconditions.
Varioussynchronizationcontrolmethodshavebeenproposedforlaserchaoticsystems,includinglinearfeedbackcontrol,adaptivecontrol,andslidingmodecontrol.However,thesemethodshavelimitationsintermsofrobustnessandconvergenceperformance.Inthispaper,weproposeanewsynchronizationcontrolmethodbasedonaneuralnetworkfinite-timeobserverforlaserchaoticsystems.
Methodology
Weconsideramaster-slaveconfigurationofalaserchaoticsystemrepresentedbythefollowingordinarydifferentialequation:
dx/dt=y
dy/dt=-ax-by-z+F
dz/dt=xy
wherea,b,andFdenotethesystemparameters.Inthisconfiguration,themastersystemisconsideredtobethereferencesystem,andtheslavesystemisthesystemtobecontrolled.Theobjectiveistodesignacontrollawthatcandrivetheslavesystemtosynchronizewiththemastersysteminfinitetime.
Toachievethis,weproposeaneuralnetworkfinite-timeobservertoestimatethestatesofthemastersystem.Theobserveristrainedtoestimatethestatesofthemastersystemusingonlytheslavesystem'soutput.Specifically,theobserve