ANALYSIS AND CONTROL OF LINEAR

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1、ANALYSISANDCONTROLOFLINEARPARAMETER-VARYINGSYSTEMSadissertationsubmittedtothedepartmentofaeronautics&astronauticsandthecommitteeongraduatestudiesofstanforduniversityinpartialfulfillmentoftherequirementsforthedegreeofdoctorofphilosophyBySungyungLimSeptember1998cCo

2、pyright1998bySungyungLimAllRightsReserved.iiIcertifythatIhavereadthisdissertationandthatinmyopinionitisfullyadequate,inscopeandquality,asadissertationforthedegreeofDoctorofPhilosophy.JonathanP.HowDepartmentofAeronauticsandAstronautics(PrincipalAdviser)Icertifytha

3、tIhavereadthisdissertationandthatinmyopinionitisfullyadequate,inscopeandquality,asadissertationforthedegreeofDoctorofPhilosophy.StephenP.BoydDepartmentofElectricalEngineeringIcertifythatIhavereadthisdissertationandthatinmyopinionitisfullyadequate,inscopeandqualit

4、y,asadissertationforthedegreeofDoctorofPhilosophy.StephenM.RockDepartmentofAeronauticsandAstronauticsIcertifythatIhavereadthisdissertationandthatinmyopinionitisfullyadequate,inscopeandquality,asadissertationforthedegreeofDoctorofPhilosophy.AndrewPackardDepartment

5、ofMechanicalEngineeringUniversityofCalifornia,BerkeleyApprovedfortheUniversityCommitteeonGraduateStudies:iiiTomywife,Yunheeandmydaughter,EllenivAbstractTheareaofanalysisandcontroloflinearparameter-varying(LPV)systemshasreceivedmuchrecentattentionbecauseofitsimpor

6、tanceindevelopingsystematictechniquesforgain-scheduling.AnLPVsystemresemblesalinearsystemthatnonlinearlydependsononeormoretime-varyingparameters.NonlinearsystemsareoftenmodeledintheLPVsystemviatheparameterizedJacobianlinearization.Typicalapproachesfortheanalysisa

7、ndcontrolofLPVsystemsarethescaledsmall-gainapproachandthedissipativesystemsframeworkusingsmoothparameter-dependentLyapunovfunctions(PDLFs).Thedissipativesystemsframeworkisthemoredesirableofthetwotechniquesbecauseitcandirectlytreattime-varyingparametersandyieldanL

8、PV-typecontroller.Furthermore,thedissipativesystemsframeworkattractivelyformulatesanalysisandsynthesisproblemsasconvexoptimizationproblemsinvolvinglinearmatrix