建筑结构振动系统的多重叠分散静态输出反馈H_∞控制方法
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摘要
采用分散控制方案能有效解决大尺度土木结构在地震作用下的结构振动控制问题。本文将静态输出反馈、重叠分散控制方法、线性矩阵不等式方法和H∞范数控制算法相结合,提出了多重叠分散静态输出反馈H∞控制方法。通过对状态矩阵添加一个微小的扰动,解决了在求解相应的线性矩阵不等式(LMI)时所遇到的计算困难问题。文中对20层Benchmark建筑结构模型进行数值模拟与计算。结果表明,部分输出反馈控制、重叠静态输出反馈控制和多重叠静态输出反馈控制均获得了与全状态集中控制相近的控制效果,减少了计算成本和控制器设计的复杂性。
A decentralized control scheme can effectively solve the control problem of large scale civil engineering structure vibration under earthquake.In this paper,combining the static output feedback,overlapping decentralized control method,linear matrix inequality and H∞norm control algorithm,the multi-overlapping decentralized static output feedback H∞control method has been established.The small perturbation matrix was added to the state matrix in order to overcome the computational difficulties encountered in solving the linear matrix inequality(LMI).The vibration control of a twenty layers Benchmark structure model was analyzed with the numerical method.The results show that the part feedback control,the overlapping static output feedback control and the multiple overlapping static output feedback control is similar to the whole state centralized control.The computational cost and complexity of controller design have been reduced.
A decentralized control scheme can effectively solve the control problem of large scale civil engineering structure vibration under earthquake.In this paper,combining the static output feedback,overlapping decentralized control method,linear matrix inequality and H∞norm control algorithm,the multi-overlapping decentralized static output feedback H∞control method has been established.The small perturbation matrix was added to the state matrix in order to overcome the computational difficulties encountered in solving the linear matrix inequality(LMI).The vibration control of a twenty layers Benchmark structure model was analyzed with the numerical method.The results show that the part feedback control,the overlapping static output feedback control and the multiple overlapping static output feedback control is similar to the whole state centralized control.The computational cost and complexity of controller design have been reduced.
引文
[1]Ma T W,Xu N S,Tang Y.Decentralized robust control of building structure under seismic excitation[J].Earthquake Engineering and Structural Dynamics,2008,37(1):121-140.
[2]Wang Y,Lynch J P,Law K H.Decentralized H∞controller design for large-scale civil structures[J].Earthquake Engineering and Structural Dynamics,2009,38(3):377-401.
[3]Wang Y.Time-delayed dynamic output feedback H∞controller design for civil structures:a decentralized approach through homotopic transformation[J].Structural Control and Health Monitoring,2011,18(2):121-139.
[4]Loh C H,Chang C M.Application of centralized and decentralized control to building structure:analytical study[J].Journal of Engineering Mechanics,2008,134(11):970-982.
[5]汪权,王建国,裴阳阳.地震作用下高层建筑结构的分散模糊迭代学习控制研究[J].计算力学学报,2012,29(5):681-686.(WANG Quan,WANG Jianguo,PEI Yang-yang,Decentralized fuzzy iterative learning control of tall buildings under earthquakes[J].Chinese Journal of Computational Mechanics,2012,29(5):681-686.(in Chinese))
[6]Monajemi-nezhad S,Rofooei F R.Decentralized sliding mode control of multistory buildings[J].The Structural Design of Tall and Special Buildings,2007,16(2):181-204.
[7]Palacios-quionero F,Rossell J M,Karimi H R.Semidecentralized strategies in structural vibration control[J].Modeling Identification and Control,2011,32(2):57-77.
[8]Palacios-quionero F,Rodellar J,Rossell J M.Sequential design of multi-overlapping controllers for longitudinal multi-overlapping systems[J].Applied Mathematics and Computation,2010,217(3):1170-1183.
[9]Karimi H R,Palacios-quionero F,Rossell J M,et al.Sequential design of multioverlapping controllers for structural vibration control of tall buildings under seismic excitation[J].Proceedings of the Institution of Mechanical Engineers,Part I:Journal of Systems and Control Engineering,2013,227(2):176-183.
[10]Rubió-massegúJ,Palacios-quionero F,Rossell J M.Decentralized static output-feedback H∞controller design for buildings under seismic excitation[J].Earthquake Engineering and Structural Dynamics,2012,41(7):1199-1205.
[2]Wang Y,Lynch J P,Law K H.Decentralized H∞controller design for large-scale civil structures[J].Earthquake Engineering and Structural Dynamics,2009,38(3):377-401.
[3]Wang Y.Time-delayed dynamic output feedback H∞controller design for civil structures:a decentralized approach through homotopic transformation[J].Structural Control and Health Monitoring,2011,18(2):121-139.
[4]Loh C H,Chang C M.Application of centralized and decentralized control to building structure:analytical study[J].Journal of Engineering Mechanics,2008,134(11):970-982.
[5]汪权,王建国,裴阳阳.地震作用下高层建筑结构的分散模糊迭代学习控制研究[J].计算力学学报,2012,29(5):681-686.(WANG Quan,WANG Jianguo,PEI Yang-yang,Decentralized fuzzy iterative learning control of tall buildings under earthquakes[J].Chinese Journal of Computational Mechanics,2012,29(5):681-686.(in Chinese))
[6]Monajemi-nezhad S,Rofooei F R.Decentralized sliding mode control of multistory buildings[J].The Structural Design of Tall and Special Buildings,2007,16(2):181-204.
[7]Palacios-quionero F,Rossell J M,Karimi H R.Semidecentralized strategies in structural vibration control[J].Modeling Identification and Control,2011,32(2):57-77.
[8]Palacios-quionero F,Rodellar J,Rossell J M.Sequential design of multi-overlapping controllers for longitudinal multi-overlapping systems[J].Applied Mathematics and Computation,2010,217(3):1170-1183.
[9]Karimi H R,Palacios-quionero F,Rossell J M,et al.Sequential design of multioverlapping controllers for structural vibration control of tall buildings under seismic excitation[J].Proceedings of the Institution of Mechanical Engineers,Part I:Journal of Systems and Control Engineering,2013,227(2):176-183.
[10]Rubió-massegúJ,Palacios-quionero F,Rossell J M.Decentralized static output-feedback H∞controller design for buildings under seismic excitation[J].Earthquake Engineering and Structural Dynamics,2012,41(7):1199-1205.
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