结构地震响应线性二次型最优迭代学习控制
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摘要
针对地震作用下工程结构的地震响应,将线性二次型最优控制与迭代学习控制相结合,提出了线性二次型最优迭代学习混合控制方法.该方法根据迭代学习控制过程中二次型性能指标函数极小化导出施加于工程结构的最优控制力,并依此研究该方法减小工程结构地震位移响应的有效性.选取典型建筑结构振动控制Benchmark第2阶段的地震作用Benchmark模型为研究对象,数值仿真结果表明,二次型最优迭代学习混合控制方法能对Benchmark模型的地震位移响应进行有效控制,使控制效果得到一定的改善.
By combining linear quadratic optimal control and iterative learning control(ILC),a new hybrid control strategy named linear quadratic optimal iterative learning control is obtained.The optimal control force is determined according to quadratic performance function minimization in the process of ILC to reduce the earthquake displacement response of engineering structures.Effectiveness of the control is studied.The model of a typical seismically excited building in the second generation benchmark vibration control for buildings is studied using the new hybrid control strategy to calculate seismic displacement response of the building. Simulation results show that the new control strategy can effectively control earthquake displacement response with improved effectiveness.
By combining linear quadratic optimal control and iterative learning control(ILC),a new hybrid control strategy named linear quadratic optimal iterative learning control is obtained.The optimal control force is determined according to quadratic performance function minimization in the process of ILC to reduce the earthquake displacement response of engineering structures.Effectiveness of the control is studied.The model of a typical seismically excited building in the second generation benchmark vibration control for buildings is studied using the new hybrid control strategy to calculate seismic displacement response of the building. Simulation results show that the new control strategy can effectively control earthquake displacement response with improved effectiveness.
引文
[1]UCHIYAMA M.Formulation of high-speed motion of a mechanical arm by trial[J].Translation of the Society of Instrumentation and Control Engineers,1978, 14(6):706-712.
[2]ARIMOTO S,KAWAMURA S,MIYAZAKI F.Bettering operation of robotics by learning[J].Journal of Robotic System,1984,1(2):123-140.
[3]TAN K K,HUANG S N,LEE T H,LIM S Y.A discrete-time iterative learning algorithm for linear time-varying systems[J].Engineering Applications of Artificial Intelligence,2003,16(3):185-190.
[4]JIANG P,CHEN H D,BAMFORTH L.A universal iterative learning stabilizer for a class of MIMO systems [J].Automatica,2006,42(6):973-981.
[5]SMOLDERS K,VOLCKAERT M,SWEVERS J.Tracking control of nonlinear lumped mechanical continuoustime systems:a model-based iterative learning approach [J].Mechanical Systems and Signal Processing, 2008,22(8):1896-1916.
[6]CUELI J R,BORDONS C.Iterative nonlinear model predictive control stability,robustness and applica- tions[J].Control Engineering Practice,2008,16(9): 1023-1034.
[7]CHI Ronghu,SUI Shulin,HOU Zhongsheng.A new discrete-time adaptive ILC for nonlinear systems with time-varying parametric uncertainties[J].Acta Automatica Sinica,2008,34(7):805-808.
[8]GOPINATH S,KARI N,BHATT R K P.Experience inclusion in iterative learning controllers:fuzzy model based approaches[J].Engineering Applications of Artificial Intelligence,2008,21(4):578-590.
[9]JIANG Ping,UNBEHAUEN R.Iterative learning neural network control for nonlinear system trajectory tracking[J].Neurocomputing,2002,48(1/4):141- 153.
[10]AMANN N,OWENS D H,Rogers E.Iterative learning control using optimal feedback and feedforward actions[J].International Journal of Control,1996, 65(2):277-293.
[11]SEO W G,PARK B H,LEE J S.Intelligent learning control for a class of nonlinear dynamics systems [J].IEE Proceedings Control Theory & Application, 1999,146(2):165-170.
[12]LEE J H,LEE K S,KIM W C.Model-based iterative learning control with a quadratic criterion for timevarying linear systems[J].Automatica,2000,36:654- 657.
[13]SVANTE G,MIKAEL N.On the design of ILC algorithms using optimization[J].Automatica,2001, 37(12):2011-2016.
[14]XIONG Zhihua,ZHANG Jie,DONG Jin.Optimal iterative learning control for batch processes based on linear time-varying perturbation model[J].Journal of Chemical Engineering,2008,16(2):235-240.
[15]HOA N D,DAVID B.An LMI approach for robust iterative learning control with quadratic performance criterion[J].Journal of Process Control,2009,19(6): 1054-1060.
[16]YANG Shengyue,QU Zhihua,FAN Xiaoping,NIAN Xiaohong.Novel iterative learning controls for linear discrete-time systems based on a performance index over iterations[J].Automatica,2008,44(5):1366- 1372.
[17]肖擎纲,曾阳素.基于误差最小化的新型迭代学习算法[J].中南大学学报:自然科学版,2008,39(2):356- 361. XIAO Qinggang,ZENG Yangsu.A new iteration learning algorithm based on smallest erroneous[J].Journal of Central South University:Science and Technology, 2008,39(2):356-361.(in Chinese)
[18]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,2003:438-448. OU Jinping.Structural vibration control-active, semi-active and intelligent control[M].Beijing:Science Press,2003:438-448.(in Chinese)
[19]LYNCH J P,LAW K H.Energy market-based control of linear civil structures[J].Earthquake Engineering and Structural Dynamics,2002,31(10):1855-1877.
[2]ARIMOTO S,KAWAMURA S,MIYAZAKI F.Bettering operation of robotics by learning[J].Journal of Robotic System,1984,1(2):123-140.
[3]TAN K K,HUANG S N,LEE T H,LIM S Y.A discrete-time iterative learning algorithm for linear time-varying systems[J].Engineering Applications of Artificial Intelligence,2003,16(3):185-190.
[4]JIANG P,CHEN H D,BAMFORTH L.A universal iterative learning stabilizer for a class of MIMO systems [J].Automatica,2006,42(6):973-981.
[5]SMOLDERS K,VOLCKAERT M,SWEVERS J.Tracking control of nonlinear lumped mechanical continuoustime systems:a model-based iterative learning approach [J].Mechanical Systems and Signal Processing, 2008,22(8):1896-1916.
[6]CUELI J R,BORDONS C.Iterative nonlinear model predictive control stability,robustness and applica- tions[J].Control Engineering Practice,2008,16(9): 1023-1034.
[7]CHI Ronghu,SUI Shulin,HOU Zhongsheng.A new discrete-time adaptive ILC for nonlinear systems with time-varying parametric uncertainties[J].Acta Automatica Sinica,2008,34(7):805-808.
[8]GOPINATH S,KARI N,BHATT R K P.Experience inclusion in iterative learning controllers:fuzzy model based approaches[J].Engineering Applications of Artificial Intelligence,2008,21(4):578-590.
[9]JIANG Ping,UNBEHAUEN R.Iterative learning neural network control for nonlinear system trajectory tracking[J].Neurocomputing,2002,48(1/4):141- 153.
[10]AMANN N,OWENS D H,Rogers E.Iterative learning control using optimal feedback and feedforward actions[J].International Journal of Control,1996, 65(2):277-293.
[11]SEO W G,PARK B H,LEE J S.Intelligent learning control for a class of nonlinear dynamics systems [J].IEE Proceedings Control Theory & Application, 1999,146(2):165-170.
[12]LEE J H,LEE K S,KIM W C.Model-based iterative learning control with a quadratic criterion for timevarying linear systems[J].Automatica,2000,36:654- 657.
[13]SVANTE G,MIKAEL N.On the design of ILC algorithms using optimization[J].Automatica,2001, 37(12):2011-2016.
[14]XIONG Zhihua,ZHANG Jie,DONG Jin.Optimal iterative learning control for batch processes based on linear time-varying perturbation model[J].Journal of Chemical Engineering,2008,16(2):235-240.
[15]HOA N D,DAVID B.An LMI approach for robust iterative learning control with quadratic performance criterion[J].Journal of Process Control,2009,19(6): 1054-1060.
[16]YANG Shengyue,QU Zhihua,FAN Xiaoping,NIAN Xiaohong.Novel iterative learning controls for linear discrete-time systems based on a performance index over iterations[J].Automatica,2008,44(5):1366- 1372.
[17]肖擎纲,曾阳素.基于误差最小化的新型迭代学习算法[J].中南大学学报:自然科学版,2008,39(2):356- 361. XIAO Qinggang,ZENG Yangsu.A new iteration learning algorithm based on smallest erroneous[J].Journal of Central South University:Science and Technology, 2008,39(2):356-361.(in Chinese)
[18]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,2003:438-448. OU Jinping.Structural vibration control-active, semi-active and intelligent control[M].Beijing:Science Press,2003:438-448.(in Chinese)
[19]LYNCH J P,LAW K H.Energy market-based control of linear civil structures[J].Earthquake Engineering and Structural Dynamics,2002,31(10):1855-1877.
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