大跨度拱桥基于降阶模型的半主动鲁棒控制
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摘要
将磁流变阻尼器用于拱桥的减震控制,首先在模态分析的基础上对大跨度拱桥进行模型降阶,以用于控制系统设计。为解决大跨度拱桥降阶控制中模型简化而导致的未建模频域不确定性所引起的溢出问题,采用基于混合灵敏度的鲁棒控制策略来消除溢出不稳定。结合基于Sign函数的半主动控制算法,建立了拱桥磁流变阻尼器半主动鲁棒控制策略。最后,以西藏尼木大桥作为算例,对该拱桥采用上述半主动鲁棒控制和LQG半主动控制方法进行了减震控制分析比较。数值分析结果表明,该方法与通常的LQG控制方法相比,能有效的抑制溢出,保证系统具有更好的鲁棒性能。
Here,a magnetorheological Fluid damper(MRFD) was used for seismic control of an arch bridge. Firstly,model reduction of a long-span arch bridge was implemented based on modal analysis in order to design a semi-active control system.In order to solve the problem of spillover due to uncertainties of the reduced order structural system in unmodeled frequency domain,which might lead to destabilization of the control system,a robust control strategy based on H_∞mixed sensitivity was proposed to eliminate spillover instability.And then,sign function-based H_∞semi-active control algorithm was applied to command the MRFD.The Nimu arch bridge was used as a simulation example to verify the proposed control scheme.Numerical simulation results demonstrated that,in contrast to the conventional LQG semi-active control method,this method can suppress spillover instability efficiently and has better robust performance.
Here,a magnetorheological Fluid damper(MRFD) was used for seismic control of an arch bridge. Firstly,model reduction of a long-span arch bridge was implemented based on modal analysis in order to design a semi-active control system.In order to solve the problem of spillover due to uncertainties of the reduced order structural system in unmodeled frequency domain,which might lead to destabilization of the control system,a robust control strategy based on H_∞mixed sensitivity was proposed to eliminate spillover instability.And then,sign function-based H_∞semi-active control algorithm was applied to command the MRFD.The Nimu arch bridge was used as a simulation example to verify the proposed control scheme.Numerical simulation results demonstrated that,in contrast to the conventional LQG semi-active control method,this method can suppress spillover instability efficiently and has better robust performance.
引文
[1]李正英.大跨度拱桥地震反应特性及减震控制研究[D].重庆:重庆大学,2008.
[2]Zames G.Feedback and optimal sensitivity:model reference transformations,multiplicatire seminorms and approximation inverses[J].IEEE Trans.Auto.Contr.1981,AC- 26:301-320.
[3]Yang G.Large-scale magnetorheological fluid damper for vibration mitigation:modeling testing and control[PHD].University of Notre Dame,Indiana,USA,2001.
[4]Fumitoshi M,Michinori H,Hideaki S,et al.Model and control of a flexible solar array paddle as a clamped-free rectangular plate[J].Automatica,1996,32(1):49-58.
[5]吉明,姚绪梁.鲁棒控制理论[M].哈尔滨:哈尔滨工程大学出版社,2002.
[6]Dyke S J,Spencer B F,Sain M K,et al.Modeling and control of magnetorheological dampers for seismic response reduction [J].Smart Material and Structures,1996,5:565-575.
[7]Wang D H,Liao W H.Modeling and Control of Magnetorheological Fluid Dampers Using Neural Networks[J].Smart Materials and Structures,2005,1:111-126.
[2]Zames G.Feedback and optimal sensitivity:model reference transformations,multiplicatire seminorms and approximation inverses[J].IEEE Trans.Auto.Contr.1981,AC- 26:301-320.
[3]Yang G.Large-scale magnetorheological fluid damper for vibration mitigation:modeling testing and control[PHD].University of Notre Dame,Indiana,USA,2001.
[4]Fumitoshi M,Michinori H,Hideaki S,et al.Model and control of a flexible solar array paddle as a clamped-free rectangular plate[J].Automatica,1996,32(1):49-58.
[5]吉明,姚绪梁.鲁棒控制理论[M].哈尔滨:哈尔滨工程大学出版社,2002.
[6]Dyke S J,Spencer B F,Sain M K,et al.Modeling and control of magnetorheological dampers for seismic response reduction [J].Smart Material and Structures,1996,5:565-575.
[7]Wang D H,Liao W H.Modeling and Control of Magnetorheological Fluid Dampers Using Neural Networks[J].Smart Materials and Structures,2005,1:111-126.
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