结构基于RBF神经网络的变结构控制研究
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摘要
针对固定增益变结构控制器应用于结构振动控制工程中可能引起控制系统过大的抖振,采用了一种基于RBF神经网络调节控制切换增益的变结构控制方法对地震作用下建筑结构的振动控制问题进行研究。根据二次型最优控制方法设计了切换面;基于切换面存在的可达性条件推导出控制律的表达式。以一个三层框架结构模型为例来验证所提变结构控制方法的有效性,算例分析结果表明,所提控制方法能够有效地减小结构的地震峰值响应,且达到了削弱控制系统抖振的目的。
As to the conventional variable structure control methods for reducing the seismic responses of building structures,the shortcoming is that it is very difficult to avoid the excessive chattering effect.Therefore,based on the advantage of RBF neural network control method,we propose a new adaptive variable structure control approach that can not only reduce the seismic responses but also avoid the undue chattering effect.We design the switch surface according to the linear quadratic optimal control algorithm and deduce the control law according to the existence and reaching condition of the switch surface.Finally,we take a three-storey building's model as a numerical example to verify the effectiveness of the controller.The ground accelerations recorded in two different earthquake events are used to evaluate the effectiveness of the control algorithm for various disturbances.The simulation results show preliminarily that our new adaptive variable structure control method is quite effective.It can not only reduce the peak-response of the ground motion,but also keep the chattering effect sufficiently low so as to ensure the stability of the system.
As to the conventional variable structure control methods for reducing the seismic responses of building structures,the shortcoming is that it is very difficult to avoid the excessive chattering effect.Therefore,based on the advantage of RBF neural network control method,we propose a new adaptive variable structure control approach that can not only reduce the seismic responses but also avoid the undue chattering effect.We design the switch surface according to the linear quadratic optimal control algorithm and deduce the control law according to the existence and reaching condition of the switch surface.Finally,we take a three-storey building's model as a numerical example to verify the effectiveness of the controller.The ground accelerations recorded in two different earthquake events are used to evaluate the effectiveness of the control algorithm for various disturbances.The simulation results show preliminarily that our new adaptive variable structure control method is quite effective.It can not only reduce the peak-response of the ground motion,but also keep the chattering effect sufficiently low so as to ensure the stability of the system.
引文
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[10]赵斌,吕西林.地震作用下参数不确定系统的变结构控制[J].地震工程与工程振动,2000,20(3):108-115.ZHAO Bin,LU Xilin.Variable structure control for earthquake excited uncertain systems[J].Journal of Earthquake Engineering and EngineeringVibration,2000,20(3):108-115.(in Chinese)
[11]刘金琨.滑模变结构控制MATLAB仿真[M].北京:清华大学出版社,2005.LIU Jinkun.Matlab simulation for sliding mode control[M].Beijing:Tsinghua University Press,2005.(in Chinese)
[12]Alli H,Yakut O.Fuzzy sliding-mode control of structures[J].Engineering Structures,2005,27:277-284.
[2]Fisco N O,Adeli H.Smart structures:PartⅠ-Active and semi-active control[J].Scientia Iranica,2011,18(3):275-284.
[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.OU Jinping.Vibration control of structures[M].Beijing:Science Press,2003.(in Chinese)
[4]高为炳.变结构控制的理论及设计方法[M].北京:科学出版社,1996.GAO Weibing.Theory and design methods of variable structure control[M].Beijing:Science Press,1996.(in Chinese)
[5]姚琼荟,宋立忠,鄢圣茂.离散变结构控制理论研究现状与展望[J].海军工程大学学报,2004,16(6):23-29.YAO Qionghui,SONG Lizhong,YAN Shengmao.Evolution and prospect of discrete variable structure control theory[J].Journal of Naval Univer-sity of Engineering,2004,16(6):23-29.(in Chinese)
[6]Yang J N,Wu J C,Agrawal A K.Sliding mode control for seismically excited linear structures[J].Journal of Engineering Mechanics ASCE,1995,121(12):1386-1390.
[7]Yang J N,Wu J C.Experimental verifications of H∞and sliding-mode control for seismically excited buildings[J].Journal of Structural Engi-neering ASCE,1996,122(1):69-75.
[8]蔡国平,孙峰,王超.建筑结构滑模控制的趋近律方法[J].西安交通大学学报,2000,34(5):95-100.CAI Guoping,SUN Feng,WANG Chao.Sliding mode control for building structures[J].Journal of Xi’an Jiao Tong University,2000,34(5):95-100.(in Chinese)
[9]Zhao B,Lu X L,Wu M Z.Sliding mode control of buildings with base-isolation hybrid protective system[J].Earthquake Engineering and Struc-tural Dynamics,2000,29:3157-326.
[10]赵斌,吕西林.地震作用下参数不确定系统的变结构控制[J].地震工程与工程振动,2000,20(3):108-115.ZHAO Bin,LU Xilin.Variable structure control for earthquake excited uncertain systems[J].Journal of Earthquake Engineering and EngineeringVibration,2000,20(3):108-115.(in Chinese)
[11]刘金琨.滑模变结构控制MATLAB仿真[M].北京:清华大学出版社,2005.LIU Jinkun.Matlab simulation for sliding mode control[M].Beijing:Tsinghua University Press,2005.(in Chinese)
[12]Alli H,Yakut O.Fuzzy sliding-mode control of structures[J].Engineering Structures,2005,27:277-284.
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