现代控制理论及应用测验考试题春a试题

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1、名姓线号学封级班卷试密学大峡三2010─2011学年第1学期2009级《现代控制理论及应用》课程试卷（A卷）注意：1、本试卷共1页；2、考试时间:120分钟3、姓名、学号必须写在指定地方题号一二三四五六七总分得分一．(4×5‘=20‘)SAQs.(1)Brieflyhighlightthehistoryofautomaticcontroltheory.矚慫润厲钐瘗睞枥庑赖。(2)Brieflyhighlightthedifferencesbetweenthemathmaticalmodeloftheclassicalco

2、ntroltheoryandtheonesofthemoderncontroltheory.聞創沟燴鐺險爱氇谴净。(3)Brieflyhighlighttheconceptsofcontrollabilityandobservability.残骛楼諍锩瀨濟溆塹籟。(4)Brieflyhighlightthecontentsandmethodsofoptimalcontrolproblem.酽锕极額閉镇桧猪訣锥。二．(12’)Am-k-csystemisshowninFigure2.(1)Identifyasuitable

3、setofstatevariablesandoutputvaiables;彈贸摄尔霁毙攬砖卤庑。(2)Obtainthesetofdifferentialequationsintermsofthestatevariables;謀荞抟箧飆鐸怼类蒋薔。(3)Writethestateequationandoutputequation.三．(10’)Determineastatespacerepresentationforasystemwiththefollowingtransferfunction厦礴恳蹒骈時盡继價骚。四．(

4、10’)Determineastatespacerepresentationforasystemwiththefollowingdifferentialequation茕桢广鳓鯡选块网羈泪。名姓线号学封级班卷试密学大峡三五．(12’)Asystemhasthefollowingstateequationandintialcondition鹅娅尽損鹌惨歷茏鴛賴。Caculatetheresponseforaunitstepinputforthesystem.籟丛妈羥为贍偾蛏练淨。六．(12’)Asystemisdescri

5、bedbythestateequationandtheoutputequation預頌圣鉉儐歲龈讶骅籴。Determinewhetherthesystemiscontrollableandobservable.渗釤呛俨匀谔鱉调硯錦。七．(12’)Asystemisdescribedbythefollowingstateequation铙誅卧泻噦圣骋贶頂廡。Determinetheoptimalcontrollawsuchthattheperformanceindex擁締凤袜备訊顎轮烂蔷。isminimized.八．(12

6、’)Alargeantennaisusedtoreceivesatellitesignalsandmustaccuratelytrackthesatelliteasitmovesacrossthesky.Thecontrolsystemusesanarmature-controlledmotorandacontrollertobeselected,asshowedinFigure8.Thesystemspecificationsrequireasteady-stateerrorforarampinput,,lesstha

7、norequalto0.01B.Wealsoseekanovershoottoastepinputlessthan5%withasettlingtime(witha2%criterion)lessthan3seconds.(a)Designacontrollerandplottheresultingtimeresponse.(b)Determinetheeffectofthedisturbanceontheoutput.(Forease,let.)贓熱俣阃歲匱阊邺镓騷。