BRAGG声光双稳系统混沌的控制研究

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1、西南交通大学硕士学位论文Bragg声光双稳系统混沌的控制研究姓名：张薇申请学位级别：硕士专业：通信与信息系统指导教师：潘炜20070401西南交通大学硕士研究生学位论文第lI页AbstractOneofthemostimportantachievementsinnonlinearscienceisthecognitionofchaos．Thepurposeofchaosresearchistocontrolandmake1lseofit．Opticalchaosisabranchofchaosdomain．Acousto—opticbistable(AOB)

2、systemisstudiedextensivelyinopticalchaoticcontrolresearchforitsmanyadvantagesjustlikesimpledeviceandeasytoachieve．Asthedevelopmentofthisfiled,chaoscontrolanditsapplicationarebecomingmoreandmoreextensive．TheresearchofAOB’Schaoticcontrolhasalsogotabreakthrough．Inthispaper,amodelonthe

3、baseofBraggAOBsystemisconstructed，andtwocontrolmethodsforAOB'schaoticstateareproposed．Thesetwomethodsareexternalperturbationfeedbackcontrolanddelayfeedbackperturbationcontr01．Inthecontrolofexternalperturbationfeedback,thechangesofsystemstateandLyapunovexponent研thfeedbackintensityha

4、vebeenanalyzed．Theeffectofnoiseandchaoticdegreetostateevolvemontarealsodiscussed．Theresultsofnumericalsimulationshowthatthesystemcanbecontrolledtodifferentstableperiodicorbitsbychoosingfeedbackintensityproperly．Thesystemalsohastheabilityofanti-jammingwhenthenoiseissmall．ThismethodU

5、SeSinvariablesignalinsteadofperiodicortemporalperturbation,whichmakesexperimenteasytoachieve．Also，thesystemCanbecontrolledinalargearea,thatmeallSnotonlycanitbecontrolledtothelowerperiodicorbit，butalsobecontrolledtothehigherstableorbits．TakingLogisticmap，AOBandHenonmapasexamples，the

6、delayfeedbackperturbationcontrolusesespecialfeedbacksignalwhichisobtainedbysubtractingdelaysignalfromoutputsignal．Thestateevolvementofsystemisdiscussedwhenthecontrolinterferencesignalactingonpartialsystemandholisticsystemrespectively．Theinfluenceofsystembyusingmethodofcontinuouscon

7、trolandoccasionalcontrolisalsoanalyzed．Bymeansofnumericalsimulation,thesystemcanbecontrolledtodifferentstableperiodicorbitsbychoosingfeedbackintensityproperly．TheoccasionalfeedbackcontrolgainstheadvantageOVerothermethodsforits1eSScontrolcostandmuchmofecentrel盯e&A1SOthesteadyperiodo

8、fsystem西南交通大学硕士研究生学位论文第1II