分散滑移模态控制法在高层建筑结构抗震中的应用
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摘要
分散控制与集中控制策略相比可以提高结构控制系统的可靠性。文中将分散控制和滑移模态控制算法原理相结合,导出分散滑移模态控制(decentralized sliding mode control,DSMC)算法并应用于高层结构振动控制中。该方法是将结构分解为若干个子结构,分别进行滑移模态控制。文中以某20层钢结构Benchmark模型为例,分别进行3个子结构与4个子结构的分散控制数值计算,与线性二次型最优控制(Linear quadratic optimal control,LQR)效果相比,DSMC算法可以有效地抑制结构位移和加速度反应。
Decentralized control strategy is superior to centralized control strategy in improving the reliability of the control system.By introducing the decentralized control strategy and combining it with the Sliding Mode Control(SMC),an algorithm named Decentralized Sliding Mode Control(DSMC) is derived for the vibration control of tall buildings.In the approach,the building is divided into several substructures and a separate SMC algorithm is designed for each subsystem.A 20-storey benchmark building is divided into three or four substructures as an example for comparing the performance of the control algorithm.The numerical results of DSMC,which could effectively reduce structural displacement and acceleration responses,are better than those of LQR.
Decentralized control strategy is superior to centralized control strategy in improving the reliability of the control system.By introducing the decentralized control strategy and combining it with the Sliding Mode Control(SMC),an algorithm named Decentralized Sliding Mode Control(DSMC) is derived for the vibration control of tall buildings.In the approach,the building is divided into several substructures and a separate SMC algorithm is designed for each subsystem.A 20-storey benchmark building is divided into three or four substructures as an example for comparing the performance of the control algorithm.The numerical results of DSMC,which could effectively reduce structural displacement and acceleration responses,are better than those of LQR.
引文
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[11]汪权,王建国,张鸣祥.结构地震反应线性二次型最优迭代学习控制[J].应用科学学报,2010,28(2):197-202.WANG Quan,WANG Jianguo,ZHANG Mingxiang.Optimal control of structure seismic response using linear quadratio performance function anditerative learning[J].Journal of Applied Sciences,2010,28(2):197-202.(in Chinese)
[2]Lynch J P,Law K H.Decentralized control techniques for large-scale civil structural systems[C]//Proceedings of the 20th International Modal A-nalysis Conference,February 4-7,2002,Los Angeles.Bellingham:Society of Photo-Optical Instrumentation Engineers,2002.
[3]Johansen J D.Active control of frame structures:A decentralized approach[D].University of California,2008.
[4]Ma T W,Xu N S,Tang Y.Decentralized robust control of building structures under seismic excitations[J].Earthquake Engng Struct.Dyn,2008;37(1):121-140.
[5]Wang Y,Lynch J P,Law K H.Decentralized H∞controller design for large-scale civil structures[J].Earthquake Engineering and Structural Dy-namics,2009,38(3):377-401.
[6]Ma T W,Johansen J,Xu N S,et al.Improved decentralized method for control of building structures under seismic excitation[J].Journal of Engi-neering Mechanics,2010,136(5):662-673.
[7]Guclu R.Sliding mode and PID control of a structural system against earthquake[J].Mathematical and Computer Modelling,2006,44(1-2):210-217.
[8]Wang A P,Lin Y H.Vibration control of a tall building subjected to earthquake excitation[J].Journal of Sound and Vibration,2007,299(4-5):757-773.
[9]Lu K C,Loh C H,Yang J N,et al.Decentralized sliding mode control of a building using MR dampers[J].Smart Materials and Structures,2008,17(5):1-15.
[10]欧进萍.结构振动控制———主动、半主动和智能控制[M].北京:科学出版社,2003.OU Jinping.Structural vibration contro———active,semi-active and intelligent contro[M].Beijing:Science Press,2003.(in Chinese)
[11]汪权,王建国,张鸣祥.结构地震反应线性二次型最优迭代学习控制[J].应用科学学报,2010,28(2):197-202.WANG Quan,WANG Jianguo,ZHANG Mingxiang.Optimal control of structure seismic response using linear quadratio performance function anditerative learning[J].Journal of Applied Sciences,2010,28(2):197-202.(in Chinese)
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