3层基准建筑物地震激励多目标控制
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摘要
结构的性能和设计要求通常是通过峰值响应量来确定的,目前多目标控制仅采用外激励的峰值或能量峰值来设计控制器,所需控制的输出矢量只能被动地降低其峰值。为此,本文提出了一种新的多目标控制方法,该方法首先通过未控时结构在地震作用时仿真来确定所有输出量的峰限,进而把这些峰限加入到线性矩阵不等式(LM I)中,最后确定控制器增益,这样就可以主动地调节所需控制的输出矢量。此外,还对通过降低峰限的方法来进一步确定控制器增益,最后给出了3层基准结构的计算实例,结果表明所提出的方法对土木工程结构是可行的。
The performance and design requirements of structures are usually specified by the peak response.The peak-bounded and energy-bounded excitations are always used to design controller in current multiobjective control,and the peak of controlled output vector can only be reduced passively.Therefore,this paper presents a new multiobjective control strategies,firstly,to get the peak-bounds of controlled output vector by simulating the structural responses under the action of earthquake excitations,secondly,to put these peak-bounds into linear matrix inequalities(LMIs),thirdly,to obtain the controller gain by solving the LMI,hence the controlled output vector can be adjusted actively.Further more,the controller gain can also be improved by reducing the peak-bound.At last,a 3-storey benchmark structure is presented,simulation results illustrate that the proposed method is viable for civil engineering structures.
The performance and design requirements of structures are usually specified by the peak response.The peak-bounded and energy-bounded excitations are always used to design controller in current multiobjective control,and the peak of controlled output vector can only be reduced passively.Therefore,this paper presents a new multiobjective control strategies,firstly,to get the peak-bounds of controlled output vector by simulating the structural responses under the action of earthquake excitations,secondly,to put these peak-bounds into linear matrix inequalities(LMIs),thirdly,to obtain the controller gain by solving the LMI,hence the controlled output vector can be adjusted actively.Further more,the controller gain can also be improved by reducing the peak-bound.At last,a 3-storey benchmark structure is presented,simulation results illustrate that the proposed method is viable for civil engineering structures.
引文
[1]Spencer B F,D yke S J,D eoskar H S.B enchm arkprob lem in structura l con tro l[A].P roc.A SCE S truc.Congress XV[C].1997,2:1 265—1 269.
[2]Spencer B F,Christenson R E,D yke S J.N ex tgeneration benchm ark con tro l prob lem s for se ism ica llyexc ited bu ild ings[A].P roc.2nd W orld Con f.onS truc.Con tro l[C].1999,2:1 135—1 360.
[3]O h tori Y,Christenson R E,Spencer B F,et a l.B enchm ark con tro l prob lem s for se ism ica lly exc itednon linear bu ild ings[J].J.Eng ineering M echan ics,2004,130(4):366—384.
[4]Chen H,G uo K H.Constra ined H-in fin ity con tro l ofactive suspens ions:an LM I approach[J].IEEET ransactions on Con tro l System s T echno logy,2005,13(3):412—421.
[5]蒋维,竺长安.基于LM I算法的汽车半主动悬架系统集成设计[J].机械与电子,2005,3:31—33.
[6]T ak ikao S,T akao F.M u ltiob jective con tro l v iasuccess ive over-bound ing of quadratic term s[J].In ternationa l Journa l of R obust and N on linearCon tro l,2005,15(8):363—381.
[7]K im J H,Jabbari F.Schedu led con tro lled forbu ild ings under se ism ic exc itation w ith lim itedactuator capac ity[J].J.Eng ineering M echan ics,2004,130(4):800—808.
[8]Y ang J N,L in S,Jabbari F.L inear m u ltiob jectivecon tro l strateg ies for w ind-exc ited Bu ild ings[J].J.Eng ineering M echan ics,2004,130(4):471—477.
[2]Spencer B F,Christenson R E,D yke S J.N ex tgeneration benchm ark con tro l prob lem s for se ism ica llyexc ited bu ild ings[A].P roc.2nd W orld Con f.onS truc.Con tro l[C].1999,2:1 135—1 360.
[3]O h tori Y,Christenson R E,Spencer B F,et a l.B enchm ark con tro l prob lem s for se ism ica lly exc itednon linear bu ild ings[J].J.Eng ineering M echan ics,2004,130(4):366—384.
[4]Chen H,G uo K H.Constra ined H-in fin ity con tro l ofactive suspens ions:an LM I approach[J].IEEET ransactions on Con tro l System s T echno logy,2005,13(3):412—421.
[5]蒋维,竺长安.基于LM I算法的汽车半主动悬架系统集成设计[J].机械与电子,2005,3:31—33.
[6]T ak ikao S,T akao F.M u ltiob jective con tro l v iasuccess ive over-bound ing of quadratic term s[J].In ternationa l Journa l of R obust and N on linearCon tro l,2005,15(8):363—381.
[7]K im J H,Jabbari F.Schedu led con tro lled forbu ild ings under se ism ic exc itation w ith lim itedactuator capac ity[J].J.Eng ineering M echan ics,2004,130(4):800—808.
[8]Y ang J N,L in S,Jabbari F.L inear m u ltiob jectivecon tro l strateg ies for w ind-exc ited Bu ild ings[J].J.Eng ineering M echan ics,2004,130(4):471—477.
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