多约束条件下结构振动系统的容错控制
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摘要
现代控制理论在工程结构振动领域中的应用性不强,主要是因为其考虑的实际约束条件太少,就该问题进行了研究。首先根据建筑结构力学原理,建立了包含控制输入滞后、执行器故障、参数不确定等的结构系统状态模型。然后基于状态反馈和线性矩阵不等式处理方法给出了一个可满足多约束条件的时滞依赖型鲁棒H∞容错主动控制算法。通过对一个四自由度建筑结构模型在EI Centro地震波作用下振动的主动控制仿真,验证了该方法的可行性,可用于工程结构的振动控制。
Application of modern control theory in field of engineering structure vibration is not strong mainly because few considerations of actual constraints are taken.According to structural dynamics theory,a state-space model containing input time-varying delay,actuator failure,parameter uncertain,etc.was established.The model parameters were appropriately dealt with to lower the conservation.A robust H∞ reliable active control algorithm for multi-constraint was also proposed based on both state feedback and LMI approaches.Finally,a building model with four degrees of freedom subjected to EI Centro earthquake wave was simulated and studied utilizing the algorithm,and the results showed that the proposed method is feasible and thus can be used to control vibration of engineering structures.
Application of modern control theory in field of engineering structure vibration is not strong mainly because few considerations of actual constraints are taken.According to structural dynamics theory,a state-space model containing input time-varying delay,actuator failure,parameter uncertain,etc.was established.The model parameters were appropriately dealt with to lower the conservation.A robust H∞ reliable active control algorithm for multi-constraint was also proposed based on both state feedback and LMI approaches.Finally,a building model with four degrees of freedom subjected to EI Centro earthquake wave was simulated and studied utilizing the algorithm,and the results showed that the proposed method is feasible and thus can be used to control vibration of engineering structures.
引文
[1]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.
[2]Jabbari F,Schmitendorf W E,Yang J N.H∞control for seis-mic-excited buildings with asseleration feedback[J].Engrg.Mech.,ASCE(S0733-9399),1995,121(9):994-1002.
[3]Du HP,James L,Kam Y S.Non-fragileH∞vibration controlfor uncertain structural systems[J].Journal of Sound and Vi-bration,2004,273(4):1031-1045.
[4]宋刚,吴志刚,林家浩.考虑不确定性的结构抗震鲁棒H∞控制[J].地震工程与工程振动,2008,28(6):226-232.
[5]李文章,吴凌尧,郭雷.基于LMI的结构振动鲁棒H∞控制[J].振动工程学报,2008,21(2):157-161.
[6]Sun Weichao,Gao Huijun,Shi Peng.An Input Delay Ap-proach to Digital Control of Suspension Systems[C].IEEETrans.2008 Chinese and Decision Conference.Yantai,2008.4728-4731.
[7]胡海岩.振动主动控制中的时滞动力学问题[J].振动工程学报,1997,10(3):273-279.
[8]李宏男,霍林生.结构多维减震控制[M].北京:科技出版社,2008.
[9]Suplin V,Fridman E,Shaked U.Input-Output Approach tothe Contorl of Time-DelayedSystems[C].IEEE Trans.Pro-ceedings of the 13thMediterranean Conference on Contorl andAutomation Limassol,Cyprus,2005.6:27-29.
[10]滕青芳,范多旺.不确定时滞系统的指数稳定保代价可靠控制[J].系统工程与电子技术,2008,30(3):530-534.
[11]姜偕富,徐文立.不确定输入时滞系统的滞后相关型鲁棒H∞控制[J].清华大学学报(自然科学版),2003,43(7):912-915.
[2]Jabbari F,Schmitendorf W E,Yang J N.H∞control for seis-mic-excited buildings with asseleration feedback[J].Engrg.Mech.,ASCE(S0733-9399),1995,121(9):994-1002.
[3]Du HP,James L,Kam Y S.Non-fragileH∞vibration controlfor uncertain structural systems[J].Journal of Sound and Vi-bration,2004,273(4):1031-1045.
[4]宋刚,吴志刚,林家浩.考虑不确定性的结构抗震鲁棒H∞控制[J].地震工程与工程振动,2008,28(6):226-232.
[5]李文章,吴凌尧,郭雷.基于LMI的结构振动鲁棒H∞控制[J].振动工程学报,2008,21(2):157-161.
[6]Sun Weichao,Gao Huijun,Shi Peng.An Input Delay Ap-proach to Digital Control of Suspension Systems[C].IEEETrans.2008 Chinese and Decision Conference.Yantai,2008.4728-4731.
[7]胡海岩.振动主动控制中的时滞动力学问题[J].振动工程学报,1997,10(3):273-279.
[8]李宏男,霍林生.结构多维减震控制[M].北京:科技出版社,2008.
[9]Suplin V,Fridman E,Shaked U.Input-Output Approach tothe Contorl of Time-DelayedSystems[C].IEEE Trans.Pro-ceedings of the 13thMediterranean Conference on Contorl andAutomation Limassol,Cyprus,2005.6:27-29.
[10]滕青芳,范多旺.不确定时滞系统的指数稳定保代价可靠控制[J].系统工程与电子技术,2008,30(3):530-534.
[11]姜偕富,徐文立.不确定输入时滞系统的滞后相关型鲁棒H∞控制[J].清华大学学报(自然科学版),2003,43(7):912-915.
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