结构控制的前馈——反馈算法对比与分析
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摘要
基于瞬时最优控制算法和经典的线性二次型高斯(Gauss)控制算法,推导了三种前馈—反馈算法,其控制器的设计包含两个部分:基于传统控制算法的反馈部分和在采样时间内对地震动信息的前馈部分。以在建的某电视塔(610m)为例,通过跟常用的线性二次型高斯(Gauss)闭环反馈控制算法相比较,对比分析了这三种前馈—反馈算法在地震作用下,对结构反应的控制效果;针对规范中对层间位移角和舒适度的要求,深入研究了在三种不同的控制目标下,基于LQG前馈—反馈算法(FFLQG)对结构反应控制的有效性;最后,通过一种新的权系数选择方法,研究了不同的输出反馈对基于LQG前馈—反馈算法控制效果的影响。
Three new feedforward-feedback algorithms (FFIOC、KCE、FFLQG) for attenuating structural responses under earthquake excitations are proposes in this paper. These controllers are composed of two parts: feedback based on traditional algorithms and feedforward based on ground motion information at each time increment. A TV tower under construction is used as a numerical example to investigate the performance of the proposed algorithms and the results are compared with that from other algorithms. Finally, the effectiveness of FFLQG based on three static output feedbacks is compared using a new method for choosing weighting coefficients.
Three new feedforward-feedback algorithms (FFIOC、KCE、FFLQG) for attenuating structural responses under earthquake excitations are proposes in this paper. These controllers are composed of two parts: feedback based on traditional algorithms and feedforward based on ground motion information at each time increment. A TV tower under construction is used as a numerical example to investigate the performance of the proposed algorithms and the results are compared with that from other algorithms. Finally, the effectiveness of FFLQG based on three static output feedbacks is compared using a new method for choosing weighting coefficients.
引文
[1]顾仲权,马扣根,陈卫东.振动主动控制[M].北京:国防工业出版社,1997.
[2]欧进萍.结构振动控制[M].北京:科学出版社,2003.
[3]Spencer,B.F.,Jr.,and Sain,M.K..Controlling buildings:A new frontier in feedback[J].IEEE Control Syst.Mag.,1997,17(6):19-30.
[4]周福霖.工程结构减震控制[M].北京:地震工程出版社,1997.
[5]Soong T.T.Active Structure Control Theory and Practice[M].Longman Scientific&Technical,New York,USA,1990.
[6]Yang,J.N.Application of optimal control theory to civil engineering structures[J].Eng.Mech.Div.1975
[7]Tian-Wei Ma and Henry T.Y.Yang.Adaptive Feedback-Feedforward Control of Building Structures[J].J.Eng.Mech.Div,2004.
[8]Yang,J.N.,Instaneous Optimal Control Algorithms for Structures under Seismic Excitations.National Center for Earthquake Engineering Research Stechnical Report NCEER-TR.
[9]阎维明,周永程.结构地震反应的瞬时KCE控制[J].世界地震工程,1996,12(2):8-13.
[10]Brian.D.O.Anderson and Jobn B.Moore.Optimal Control:Linear Quadratic Methods[M].Prentice Hall of India,New Delhi110001,1991.
[11]谭平.结构主动控制和半主动控制的研究[D].长沙:湖南大学,1997.
[12]JGJ3-2002.高层建筑混凝土结构技术规范[S].
[2]欧进萍.结构振动控制[M].北京:科学出版社,2003.
[3]Spencer,B.F.,Jr.,and Sain,M.K..Controlling buildings:A new frontier in feedback[J].IEEE Control Syst.Mag.,1997,17(6):19-30.
[4]周福霖.工程结构减震控制[M].北京:地震工程出版社,1997.
[5]Soong T.T.Active Structure Control Theory and Practice[M].Longman Scientific&Technical,New York,USA,1990.
[6]Yang,J.N.Application of optimal control theory to civil engineering structures[J].Eng.Mech.Div.1975
[7]Tian-Wei Ma and Henry T.Y.Yang.Adaptive Feedback-Feedforward Control of Building Structures[J].J.Eng.Mech.Div,2004.
[8]Yang,J.N.,Instaneous Optimal Control Algorithms for Structures under Seismic Excitations.National Center for Earthquake Engineering Research Stechnical Report NCEER-TR.
[9]阎维明,周永程.结构地震反应的瞬时KCE控制[J].世界地震工程,1996,12(2):8-13.
[10]Brian.D.O.Anderson and Jobn B.Moore.Optimal Control:Linear Quadratic Methods[M].Prentice Hall of India,New Delhi110001,1991.
[11]谭平.结构主动控制和半主动控制的研究[D].长沙:湖南大学,1997.
[12]JGJ3-2002.高层建筑混凝土结构技术规范[S].
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