基于精细计算的结构瞬时最优预测控制
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摘要
针对地震激励作用下的结构控制问题,提出一种瞬时最优预测控制算法,该算法采用的开闭环控制策略在控制过程中综合考虑了下一时刻位移、控制力输入能量和地震波能量对结构的影响,解决了传统开闭环控制必须知道整个过程中外扰信息的难题,另外对控制过程中的指数矩阵采用精细积分法来求解,避免求解动力状态矩阵的特征值和特征向量,简化了算法中指数矩阵的计算,提高了计算效率,使得算法具有高效率、高精度、对步长不敏感、无条件收敛的优点.在算例中将文中方法与LQG算法进行了比较,证明了文中算法的有效性且优于LQG算法.
For the structural control under seismic excitation,an algorithm of instantaneous optimal prediction control is presented.the algorithm in closed-open loop control includes one step ahead corresponding to the discrete expression of governing equation,the input energy of control force and seismic excitation,thereby it can solve the problem that we must know the information of seismic excitation.Exponent matrix in control is considered as a problem,and we solve it with the precise integration method which has advantages of high efficiency,high precise,not sensitive to time-step and unlimited convergent.Besides,the algorithm in this paper can avoid solving the characteristic vector and the Eigen values of the dynamic state matrix,and can make the exponent matrix to calculate easily,so it is applicable in project.Finally,by comparing the algorithm with LQG method,it shows the effectiveness and merits of the algorithm in the paper.
For the structural control under seismic excitation,an algorithm of instantaneous optimal prediction control is presented.the algorithm in closed-open loop control includes one step ahead corresponding to the discrete expression of governing equation,the input energy of control force and seismic excitation,thereby it can solve the problem that we must know the information of seismic excitation.Exponent matrix in control is considered as a problem,and we solve it with the precise integration method which has advantages of high efficiency,high precise,not sensitive to time-step and unlimited convergent.Besides,the algorithm in this paper can avoid solving the characteristic vector and the Eigen values of the dynamic state matrix,and can make the exponent matrix to calculate easily,so it is applicable in project.Finally,by comparing the algorithm with LQG method,it shows the effectiveness and merits of the algorithm in the paper.
引文
[1]SOONG TT.Active Structure Control Theory andPractice[M].New York:Longman Scientific&Tech-nical,1990.
[2]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[3]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,2003:56-89.
[4]SATO T,TOKI K,HASHIMOTO M.Predictive con-trol of seismic response of structure with time delay[C].Tokyo:Japan Soc of Civ Engrs,1991(428):193-202.
[5]MASARU H,YOSHIHITO S.Prediction control ofSDOF system[J].Journal of Engineering Mechanics,ASCE,1995,121(10):1049-1055.
[6]SOONG TT.State-of-the-art review:Active structuralcontrol in civil engineering[J].J Engrg Struct,1988,10:74-84.
[7]TANG Y.New algorithm for active structural control[J].Structural Engineering,ASCE,122(9):1081-1088.
[8]KALMAN R E.A newapproach to linear filtering andprediction problems.[J].J Basic Engrg,1960,82(1):35-45.
[9]张洵安,薛荣刚.巨-子型控制结构体系在竖向地震作用下的反应分析[J].郑州大学学报(工学版),2005,26(3):41-45.
[2]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[3]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,2003:56-89.
[4]SATO T,TOKI K,HASHIMOTO M.Predictive con-trol of seismic response of structure with time delay[C].Tokyo:Japan Soc of Civ Engrs,1991(428):193-202.
[5]MASARU H,YOSHIHITO S.Prediction control ofSDOF system[J].Journal of Engineering Mechanics,ASCE,1995,121(10):1049-1055.
[6]SOONG TT.State-of-the-art review:Active structuralcontrol in civil engineering[J].J Engrg Struct,1988,10:74-84.
[7]TANG Y.New algorithm for active structural control[J].Structural Engineering,ASCE,122(9):1081-1088.
[8]KALMAN R E.A newapproach to linear filtering andprediction problems.[J].J Basic Engrg,1960,82(1):35-45.
[9]张洵安,薛荣刚.巨-子型控制结构体系在竖向地震作用下的反应分析[J].郑州大学学报(工学版),2005,26(3):41-45.
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