VARIATIONAL METHOD AND COMPUTATION FOR H_∞ CONTROL

ＩｎｔｒｏｄｕｃｔｉｏｎＨ∞ｃｏｎｔｒｏｌｔｈｅｏｒｙｈａｓｂｅｅｎｗｅｌｌｄｅｖｅｌｏｐｅｄｓｉｎｃｅｔｈｅＤＧＫＦｐａｐｅｒ[1],ｗｈｅｒｅｔｈｅｆｕｎｄａｍｅｎｔａｌｅｑｕａｔｉｏｎｓｆｏｒＨ∞ ｍｅａｓｕｒｅｍｅｎｔｆｅｅｄｂａｃｋｃｏｎｔｒｏｌａｒｅｄｅｒｉｖｅｄｆｒｏｍｔｈｅｓｅｐａｒａｔｉｏｎｐｒｉｎｃｉｐｌｅ ,ａｓｉｎＬＱＧｃｏｎｔｒｏｌｔｈｅｏｒｙ[2～ 5 ].Ｈｏｗｅｖｅｒ,ｔｈｅｃｏｍｐｕｔａｔｉｏｎｆｏｒｆｉｎｉｔｅｈｏｒｉｚｏｎ [0 ,ｔｆ]ｐｒｏｂｌｅｍａｎｄｔｈｅｄｅｔｅｒｍｉ…     

MODAL SYNTHESIS METHOD FOR NORM COMPUTATION OF H_∞ DECENTRALIZED CONTROL SYSTEMS (II)

IntroductionThecorrespondencebetweenH∞ decentralizedcontrolandmodalsynthesistheoryispresentedinpart (I)ofthepaper[1].WheretheorthogonalityandtheexpansiontheoremofeigenfunctionsofsubsystemsH∞ controlareintroduced .Basedontheseresults,thefollowingsectionspresentthemodalsynthesismethodforthecomputationoftheoptimalH∞ normofthedecentralizedcontrolsystemsandnumericalexamples.Notethatthroughoutthepaperequation(I_n)denotesequation (n)inpart (I)ofthepaper[1].1　OptimalParameterComputationforGlob…     

FINITE ELEMENT MODELING AND ROBUST VIBRATION CONTROL OF TWO-HINGED PLATE USING BONDED PIEZOELECTRIC SENSORS AND ACTUATORS

Active vibration control for a kind of two-hinged plate is developed in this paper. A finite element model for the hinged plate integrated with distributed piezoelectric sensors and actuators is derived, including bending and torsional modes of vibration. In this model, the hinges are simplified as regular plate elements to facilitate operation. The state space representations for bending and torsional vibrations are obtained. Based on two low-order models of the bending and torsional motion, two H ∞ robust controllers are designed for suppressing the vibrations of the bending and torsional modes, respectively. The simulation results indicate the effectiveness and feasibility of the designed H ∞ controllers. The vibration magnitudes of the low-order modes can be reduced without affecting the high frequency modes.     

CONTROLLING (Lü-SYSTEM) USING PARTIAL LINEARIZATION

IntroductionSince 1 963 ,Lorenzfoundthefirstchaoticattractorinathree_dimensionalautonomoussystem[1],chaoshasbeenintensivelystudiedduringthelastdecades.Ithasbeendetectedinalargenumberofdynamicssystemofphysicalnature.However,manyeffectsareusuallyundesirableinpracticeforthesensibilityofchaos.Controllingchaoticsystemhasbeeninthefocusofattentionintheengineeringsociety[2～ 4 ].Manytechniquesandapproacheshavebeenstudiedtocontrolthechaoticsystem .Forinstance,OGYmethod[5 ],linearstatespacefeedback[6…     

海洋平台地震响应的H∞控制

提出了将H_∞控制及平衡降阶法应用于结构主动控制的新方法.该方法首先利用平衡降阶法对结构进行降阶,然后利用降阶模型构造出H_∞控制器和H_∞观测器对结构进行控制;同时结合复模态理论和虚拟激励法,给出了系统分析的有效途径.本文最后以海洋平台地震响应的ATMD主动控制为例,验证了本文方法的有效性.     

ON CAUCHY PROBLEMS FOR THE RLW EQUATION IN TWO SPACE DIMENSIONS

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｓｙｓｔｅｍｏｆｔｈｅｎｏｎｌｉｎｅａｒｄｉｓｐｅｒｓｉｖｅ ,ｔｈｅｐａｐｅｒｓ [1 ]ａｎｄ [2 ]ｈａｖｅｓｔｕｄｉｅｄｔｈｅｍｏｄｅｌｅｑｕａｔｉｏｎｏｆｓｉｍｐｌｅｗａｖｅｓｐｒｏｐａｇａｔｉｏｎｏｆｌｏｎｇｗａｖｅ ,ｕｔ+αｕｘ+ βｕｕｘ-γｕｘｘｔ=0　　ｘ∈Ｒ ,ｔ≥ 0ｉｓｃａｌｌｅｄｔｈｅＲＬＷｅｑｕａｔｉｏｎ .ＳＨＡＮＧ[3]ｏｂｔａｉｎｅｄｔｈｅｅｘａｃｔｓｏｌｉｔａｒｙｗａｖｅｓｏｌｕｔｉｏｎｓｏｆｔｈｅｔｗｏｄｉｍｅｎｓｉｏｎａｌＲＬＷｅｑｕａｔｉｏｎ .Ｉｎ…     

EXISTENCE OF SOLUTIONS FOR NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

IntroductionInRef.[1 ]KannanandLockergivetheexistenceofatleastonesolutionofTy-h(t,y ,… ,y(n- 1) )y=f(t,y ,… ,y(n- 1) )　　 (a相似文献   

SHIFT OF SHOCK POSITION FOR A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS

Thenonlinearsingularlyperturbedproblemisaveryattentiveobjectofstudyintheinternationalacademiccircles[1].Recently ,manyscholarsstudiedagreatdealofwork .Forexample,Boh啨[2 ],ButuzovandSmurov[3],O’Malley ,Jr.[4 ],Butuzov ,NefedovandSchneider[5 ]andKelley[6 ]andsoon .TheauthorconsideredaclassofsingularlyperturbednonlinearboundaryvalueproblemsfortheordinarydifferentialequationinRefs .[7～ 1 0 ] ,reactiondiffusionequationsinRefs.[1 1～ 1 3 ] ,singularlyperturbedproblemswithnonlocalboundarycond…     

Equations of motion for nonholonomic mechanical systems with unilateral constraints

IntroductionThemotionofamechanicalsystemwithunilateralconstraintsismoregeneralthanwithbilateralconstraints1andyetitsinvestigationismoredifficult[1,2].Thesystemswithunilateralconstraintsinvolvetheholonomicmechanicalsystemswithunilateralholonomicconstraints[3～6]andthenonholonondcmeChanicalsystemswithunilateralholonondcconstraintS[7]andthenonholonondcmechanicalsystemswithunilateralnonholonondcconstraintS[2]andsoon.ThispaperstUdiesatypeofmoregeneralsystemswithunilateralconstfaints:nonholonondcs…     

CUBLIC SPLINE SOLUTIONS OF AXISYMMETRICAL NONLINEAR BENDING AND BUCKLING OF CIRCULAR SANDWICH PLATES

IntroductionBruun[1],Huang[2 ]andWang[3]publishedtheirpapersrelatedtolinearlystaticanalysisofcircularsandwichplates .Liuetal.setupnonlinearbendingequationsofacircularsandwichplate[4 ],andsolvedaseriesofnonlinearproblems[5～ 10 ].Sofartheothersneverdiscuss…