基于特征结构配置的结构主动控制及仿真
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摘要
考虑了具有最优控制的结构主动控制问题,目的是在系统满足闭环特性的前提下,设计状态反馈控制器使得系统性能泛函极小化。利用特征结构配置方法提供的自由度,给出了性能泛函的显示参数化表示,从而该问题转化为带有约束条件的优化问题,参与优化的变量仅为一组参量。并给出了求解该优化问题的算法,该算法直接基于结构系统矩阵,故其简单性为工程应用提供方便。地震作用下对三层剪切结构建筑模型进行仿真分析,结果表明所提结构主动控制方法的有效性。
The design of structural active control with minimum control effort was investigated.The aim is to design a state feedback controller,that the closed-loop system has desired eigenvalues,and a system performance function is optimized.By utilizing design degrees of freedom offered by parametric eigenstructure assignment,a parametric expression for the system performance index was proposed.Thus the optimization problem was changed into a minimization problem with some constraints and the optimized variables are a group of parameters.An algorithm was proposed for this minimization and utilized the original system data,and thus it is simple to use in applications.A three-story shearing model under earthquake excitation was analyzed by using the proposed algorithm and the simulation results show the effect of this algorithm.
The design of structural active control with minimum control effort was investigated.The aim is to design a state feedback controller,that the closed-loop system has desired eigenvalues,and a system performance function is optimized.By utilizing design degrees of freedom offered by parametric eigenstructure assignment,a parametric expression for the system performance index was proposed.Thus the optimization problem was changed into a minimization problem with some constraints and the optimized variables are a group of parameters.An algorithm was proposed for this minimization and utilized the original system data,and thus it is simple to use in applications.A three-story shearing model under earthquake excitation was analyzed by using the proposed algorithm and the simulation results show the effect of this algorithm.
引文
[1]Yao J T P.Concept of structure control[J].ASCE Journal of Structure Division(S0733-9453).1972,98(ST7):1567-1574.
[2]欧进萍.结构振动控制:主动、半主动和智能控制[D].北京:科学出版社,2003.
[3]张春巍,欧进萍.结构振动控制Benchmark研究发展综述[C]//现代土木工程理论与实践,南京:河海大学出版社,2003:489-496.
[4]Mohamed A R,Horst H L.Structural Control by Pole AssignmentMethod[J].Journal of the Engineering Mechanics Division(S0044-7951).1978,104(5):1159-1175.
[5]Duan G R,Liu G P.Complete parametric approach for eigenstructure assignment in a class of second-order linear systems[J].Automatica(S0005-1098).2002,38(4):725-729.
[6]Duan G R,Wang G S,Liu G P.Eigenstructure assignment in a class of second-order linear systems:a complete parametric approach[C]//Proceedings of CACSCUK,Manchester,UK,2002,89-96.
[7]Wang G S,Duan G R.Robust pole assignment via P-D feedback in a class of second-order dynamic systems[C]//International Conference of Automation,Robots and Computer Vision,Kunming,China,2004,1152-1156.
[8]Wang G S,Liang B,Duan G R Reconfiguring second-order dynamic systems via state feedback eigenstructure assignment[J].International Journal of Control,Automation,and Systems(S1598-6446).2005,3(1):109-116.
[9]王国胜,柴庆宣,段广仁.二阶动力学系统分散状态反馈特征结构配置[J].哈尔滨工业大学学报,2004,36(12):1585-1588.
[10]王国胜,段广仁.二阶动力学系统输出反馈特征结构配置[J].系统工程与电子技术,2004,26(8):1080-1083.
[11]王国胜,王子华,段广仁.二阶动力学系统的干扰解耦与抑制[J].系统工程与电子技术,2004,26(11):1640-1643.
[12]段广仁,王国胜.矩阵方程EVJ2+AVJ+CV=BW的两种解析通解[J].哈尔滨工业大学学报,2005,37(1):1-4.
[13]Duan G R.Parametric eigenstructure assignment in second-order descriptor linear systems[J].IEEE Transactions on Automatic Control(S0018-9286).2004,49(10):1789-1795.
[2]欧进萍.结构振动控制:主动、半主动和智能控制[D].北京:科学出版社,2003.
[3]张春巍,欧进萍.结构振动控制Benchmark研究发展综述[C]//现代土木工程理论与实践,南京:河海大学出版社,2003:489-496.
[4]Mohamed A R,Horst H L.Structural Control by Pole AssignmentMethod[J].Journal of the Engineering Mechanics Division(S0044-7951).1978,104(5):1159-1175.
[5]Duan G R,Liu G P.Complete parametric approach for eigenstructure assignment in a class of second-order linear systems[J].Automatica(S0005-1098).2002,38(4):725-729.
[6]Duan G R,Wang G S,Liu G P.Eigenstructure assignment in a class of second-order linear systems:a complete parametric approach[C]//Proceedings of CACSCUK,Manchester,UK,2002,89-96.
[7]Wang G S,Duan G R.Robust pole assignment via P-D feedback in a class of second-order dynamic systems[C]//International Conference of Automation,Robots and Computer Vision,Kunming,China,2004,1152-1156.
[8]Wang G S,Liang B,Duan G R Reconfiguring second-order dynamic systems via state feedback eigenstructure assignment[J].International Journal of Control,Automation,and Systems(S1598-6446).2005,3(1):109-116.
[9]王国胜,柴庆宣,段广仁.二阶动力学系统分散状态反馈特征结构配置[J].哈尔滨工业大学学报,2004,36(12):1585-1588.
[10]王国胜,段广仁.二阶动力学系统输出反馈特征结构配置[J].系统工程与电子技术,2004,26(8):1080-1083.
[11]王国胜,王子华,段广仁.二阶动力学系统的干扰解耦与抑制[J].系统工程与电子技术,2004,26(11):1640-1643.
[12]段广仁,王国胜.矩阵方程EVJ2+AVJ+CV=BW的两种解析通解[J].哈尔滨工业大学学报,2005,37(1):1-4.
[13]Duan G R.Parametric eigenstructure assignment in second-order descriptor linear systems[J].IEEE Transactions on Automatic Control(S0018-9286).2004,49(10):1789-1795.
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