大跨度斜拉桥Benchmark控制模型降阶研究及线性二次型最优算法实现
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摘要
本文在二代斜拉桥Benchmark控制模型基础上进行分析,首先在实体模型建立时采用物理降阶进行自由度缩减,之后使用matlab控制工具箱对状态空间进行均衡实现并降阶,从而得到简化模型,之后基于线性二次型最优控制原理对模型采用了LQG算法主动控制,并分析墩梁固结体系模型与原模型差别,加载地震波并进行时程响应分析,并比较了无控结构,固结体系和受控结构的时程响应结果及对比了主动控制的所得的一系列评价系数,得到了很好的效果。
This paper deals with the problem for the response control of seismic-excited long-span cable-stayed bridge.It is analyzed on the basis of the second benchmark control model for the long-span cable-stayed bridge.First of all,it makes condensation for the degree of freedom with physically reduced-order method when constructs entity model.Then the state space is balanced realized and order-reduced by using MATLAB Control Toolbox,so as to obtain the simplified models.Finally,this paper adopts LQG active control algorithm to the model based on the linear quadratic optimal control principle,makes analysis of the model distinction of the consolidated pier-beam system and loads seismic waves to analyze the time history response,then makes comparison for the time history results among the free-controlled structures,consolidated systems and controlled structures as well as contrasts a series of performance evaluation criteria obtained from the active control approach.In conclusion,this paper acquires effective results from the above-mentioned analysis method.
This paper deals with the problem for the response control of seismic-excited long-span cable-stayed bridge.It is analyzed on the basis of the second benchmark control model for the long-span cable-stayed bridge.First of all,it makes condensation for the degree of freedom with physically reduced-order method when constructs entity model.Then the state space is balanced realized and order-reduced by using MATLAB Control Toolbox,so as to obtain the simplified models.Finally,this paper adopts LQG active control algorithm to the model based on the linear quadratic optimal control principle,makes analysis of the model distinction of the consolidated pier-beam system and loads seismic waves to analyze the time history response,then makes comparison for the time history results among the free-controlled structures,consolidated systems and controlled structures as well as contrasts a series of performance evaluation criteria obtained from the active control approach.In conclusion,this paper acquires effective results from the above-mentioned analysis method.
引文
[1]Dyke S.J.,Caicedo J.M.,Turan G,Bergman L.A.,Hague S.Phase I benchmark control problem for seismic re-sponse of cable-stayed bridges[C].Journal of Structural Engi-neering,2003,129(7):857-872.
[2]Caicedo J.M,Dyke S.J.,et al.Phase II benchmarkcontrol problem for seismic response of cable-stayed bridges,2002.
[3]李惠,彭君义.结构模型与控制器降阶的主动控制试验研究[J].振动工程学报,2006,19(1):17-23.
[4]魏巍.matlab控制过程工具箱技术手册[M].国防工业出版社,2000.
[5]欧进萍.结构振动控制——主动、半主动和智能控制[M].科学出版社,2003
[6]范立础.桥梁抗震[M].同济大学出版社,1997.
[7]李雪峰.大跨度斜拉桥结构地震响应主动控制研究[D].合肥工业大学,2008.
[2]Caicedo J.M,Dyke S.J.,et al.Phase II benchmarkcontrol problem for seismic response of cable-stayed bridges,2002.
[3]李惠,彭君义.结构模型与控制器降阶的主动控制试验研究[J].振动工程学报,2006,19(1):17-23.
[4]魏巍.matlab控制过程工具箱技术手册[M].国防工业出版社,2000.
[5]欧进萍.结构振动控制——主动、半主动和智能控制[M].科学出版社,2003
[6]范立础.桥梁抗震[M].同济大学出版社,1997.
[7]李雪峰.大跨度斜拉桥结构地震响应主动控制研究[D].合肥工业大学,2008.
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