基于最小二乘支持向量机的结构地震响应时滞控制算法
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
针对时滞会导致控制系统效果降低、控制性能恶化甚至系统不稳定,将线性二次型控制(Linear QuadraticRegulator,LQR)与最小二乘支持向量机(Least Squares Support Vector Machines,LSSVM)进行集成,提出时滞LSSVM-LQR智能控制算法。该算法采集结构状态响应数据后,将用LQR算法计算出的结构最优控制力输入到LSSVM中,以训练并回归预测出时滞后时刻的最优控制力;由作动器对结构提供控制。基于MATLAB平台编写计算程序,并用一幢三层框架结构进行数值验证。结果表明,LSSVM-LQR算法能有效降低时滞对结构控制系统的不利影响。
The existence of time-delay always lowers control effects of control systems,results in worse control performance and even causes system instability.Through integrating the least squares support vector machine(LSSVM) and the linear quadratic regulator(LQR),a new intelligent control algorithm,referred to as the time-delay LSSVM-LQR,was proposed.The algorithm includes the following four steps: acquiring the state-space response data of the structure;using the LQR algorithm to calculate the optimal control forces;inputting the force data to LSSVM for training and giving out the prediction of optimal forces after time-delay;providing the control on the structure with the help of actuators.Based on MATLAB,a program was compiled.Subsequently,the LSSVM algorithm was verified by using the example of a 3-storey frame structure.The results show that the LSSVM algorithm can effectively reduce the adverse impact of time-delay on the control system of 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]Lin C C,Chang C C,Chen H L.Optimal H∞output feedback control systems with time delay[J].Journal of Engineering Mechanics,2006,132(10):1096-1105.
    [3]蔡国平,黄金枝.控制存在时滞的线性系统主动控制的滑移模态方法[J].力学季刊,2002,23(2):164-172.CAI Guo-ping,HUANG Jin-zhi.Sliding-mode control method for linear systems with time-delay in control[J].Chinese Quarterly of Mechanics,2002,23(2):164-172.
    [4]陈龙祥,蔡国平.地震作用下建筑结构的多时滞最优控制[J].振动与冲击,2008,27(4):63-65,169.CHEN Long-xiang,CAI Guo-ping.Optimal control method for scimically excited structures with multiple time delays in control[J].Journal of Vibration and Shock,2008,27(4):63-65,169.
    [5]刘军龙,代晶辉,张春巍,等.基于位移反馈控制的主动增加时滞补偿方法及其试验验证[J].振动与冲击,2011,30(6):185-191.LIU Jun-long,DAI Jing-hui,ZHANG Chun-wei,et al.Time delay compensation method based on displacement feedback and active increasing of time delays and its experimental verification[J].Journal of Vibration and Shock,2011,30(6):185-191.
    [6]McGreevy S,Soong T T,Reinhorn A M.An experimental study of time delay compensation in active structural control[C].Proc.6th Int.Modal Analysis Conf.and Exhibits,Society for Experimental Mechanics,1988:1733-1739.
    [7]徐龙河,李忠献,钱稼茹.半主动预测控制系统的时滞与补偿[J].工程力学,2011,28(9):79-83.XU Long-he,LI Zhong-xian,QIAN Jia-ru.Time delay and compensation for semi-active predictive control system[J].Engineering Mechanics,2011,28(9):79-83.
    [8]Vapnik V.Statistical learning theory[M].New York:Wiley,1998.
    [9]Cheng J S,Yu D J,Yang Y.Application of support vector regression machines to the processing of end effects of Hilbert-Huang transform[J].Mechanical Systems and Signal Processing,2007,21(3):1197-1211.
    [10]David M,Bart B,Tony V G.Comprehensible credit scoring models using rule extraction from support vector machines[J].European Journal of Operational Research,2007,183(3):1466-1476.
    [11]Suykens J A K,Vandewalle J.Least squares support vector machine classifiers[J].Neural Processing Letters,1999,9:293-300.
    [12]顾燕萍,赵文杰,吴占松.最小二乘支持向量机的算法研究[J].清华大学学报(自然科学版),2010,50(7):1063-1066,1071.GU Yan-ping,ZHAO Wen-jie,WU Zhan-song.Least squares support vector machine algorithm[J].J Tsinghua Univ(Sci&Tech),2010,50(7):1063-1066,1071.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心