建筑结构基于RBF神经网络的离散滑模控制研究
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摘要
抖振问题是离散滑模控制在实际系统中应用的突出障碍.根据神经网络控制的优点,采用一种基于RBF神经网络的离散滑模控制方法对地震作用下建筑结构的振动控制问题进行了研究.根据离散系统建模技术,得到了离散时间形式的状态方程,同时给出了确定切换面的方法,并推导了控制律的表达式.以一个三层剪切型建筑结构模型为例来验证所提出的离散滑模控制方法的有效性.算例分析结果表明:本文所提出的控制方法能够有效地减小结构的地震峰值响应,同时达到了削弱控制系统抖振的目的.
Based on the advantage of RBF neural network control method,a new discrete-time adaptive sliding mode control method,which is one of the active control algorithms,was applied for seismically excited building structures.The undue chattering effect and the major disadvantage of conventional sliding mode controller have been removed by introducing RBF neural network controller to suppress parameter vibrations and perturbations greatly.This paper proposed several ways to get the switch surface and to design the feedback controller.For numerical application,a three-story shear building model subjected to ground excitations was considered.The ground accelerations recorded in two different earthquake events were used to evaluate the effectiveness of the control algorithm for varied disturbances.The simulation results show preliminarily that our new discrete-time adaptive sliding mode control method is quite effective:not only can it reduce the peak-response of the ground motion,but also it can keep the chattering effect sufficiently low so as to ensure the system stable.
Based on the advantage of RBF neural network control method,a new discrete-time adaptive sliding mode control method,which is one of the active control algorithms,was applied for seismically excited building structures.The undue chattering effect and the major disadvantage of conventional sliding mode controller have been removed by introducing RBF neural network controller to suppress parameter vibrations and perturbations greatly.This paper proposed several ways to get the switch surface and to design the feedback controller.For numerical application,a three-story shear building model subjected to ground excitations was considered.The ground accelerations recorded in two different earthquake events were used to evaluate the effectiveness of the control algorithm for varied disturbances.The simulation results show preliminarily that our new discrete-time adaptive sliding mode control method is quite effective:not only can it reduce the peak-response of the ground motion,but also it can keep the chattering effect sufficiently low so as to ensure the system stable.
引文
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9Cai G P.Discrete-time variable structure control method for seismic-excited building structures with time delay in con-trol.Earthquake Engineering and Structural Dynamics,2002,31(4):1347～1359
10孙增圻.智能控制理论与技术.北京:清华大学出版社,1997(Sun ZQ.Theory and technique of intelligent control.Beijing:Tsinghua University Press,1997(in Chinese))
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2刘金琨.滑模变结构控制MATLAB仿真.北京:清华大学出版社,2005(Liu JK.MATLAB simulation for sliding mode con-trol.Beijing:Tsinghua University Press,2005(in Chinese))
3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.海军工程大学学报,2004,16(6):23～29(YaoQH,Song LZ,Yan SM.Evolution and prospect of discrete variable structure control theory.Journal ofNaval University ofEngineering,2004,16(6):23～29(in Chinese))
4Yang J N.Sliding mode control for nonlinear and hysteretic structures.Journal ofEngineering Mechanics ASCE,1995,121(12):1330～1339
5Yang J N.Sliding mode control for seismically excited line-ar structures.Journal of Engineering Mechanics ASCE,1995,121(12):1386～1390
6Yang J N.Control of sliding-isolated building using sliding-mode control.Journal of Structural Engineering ASCE,1996,122(2):179～186
7Yang J N.Experimental verifications of and sliding-mode control for seismically excited buildings.Journal ofStruc-tural Engineering ASCE,1996,122(1):69～75
8赵斌,吕西林.结构振动的离散变结构控制方法.振动工程学报,2001,14(1):85～89(Zhao B,Lu XL.Discrete variable structure control method for vibration control of building structures.Journal of Vibration Engineering,2001,14(1):85～89(in Chinese))
9Cai G P.Discrete-time variable structure control method for seismic-excited building structures with time delay in con-trol.Earthquake Engineering and Structural Dynamics,2002,31(4):1347～1359
10孙增圻.智能控制理论与技术.北京:清华大学出版社,1997(Sun ZQ.Theory and technique of intelligent control.Beijing:Tsinghua University Press,1997(in Chinese))
11王划一,杨西侠,林家恒.现代控制理论基础.北京:国防工业出版社,2004(Wang HY,Yang XX,Lin JH.Basic theory of modern control.Beijing:National Defense Industry Press,2004(in Chinese))
12欧进萍.结构振动控制—主动、半主动和智能控制.北京:科学出版社,2003(Ou JP.Vibration control of struc-tures.Beijing:Science Press,2003(in Chinese))
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