Adaptive time delay compensation method for real-time hybrid test based on additive error model
HUANG Wei1, NING Xizhan1,2,3, WANG Zhen4, XU Xiaoyang5
1.College of Civil Engineering, Huaqiao University, Xiamen 361021, China;
2.Fujian Provincial Key Lab for Intelligent Infrastructure and Monitoring, Huaqiao University, Xiamen 361021, China;
3.CEA Key Lab of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration (CEA), Harbin 150080, China;
4.School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China;
5.Hubei Branch, China Construction Second Engineering Bureau Co., Ltd., Wuhan 430063, China
Abstract：Real-time hybrid simulation (RTHS) is an effective method to evaluate structural dynamic performance. However, the variable time-delay, caused by the dynamics of and interaction between the transfer system and the physical specimen, affects the accuracy and stability of RTHS seriously. To deal with this problem, an additive error model-based adaptive compensation method is proposed. In the method, the system, composed of the transfer system and physical specimen, is divided into the nominal and additive error models. The inverse of the nominal model is used as the feedforward controller to eliminate the primary time-delay of the system. An adaptive time-delay compensator is designed utilizing the additive error model to eliminate the residual time-delay further. The results show that the proposed method can effectively improve the simulation accuracy of RTHS and significantly reduce the dependence on the adaptive law of the adaptive delay compensation method. Moreover, the proposed method exhibits strong robustness.
黄伟1，宁西占1,2,3，王贞4，徐小洋5. 基于加性误差模型的实时混合试验自适应时滞补偿方法[J]. 振动与冲击, 2023, 42(7): 46-53.
HUANG Wei1, NING Xizhan1,2,3, WANG Zhen4, XU Xiaoyang5. Adaptive time delay compensation method for real-time hybrid test based on additive error model. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(7): 46-53.
[1] Nakashima M, Kato H, Takaoka E. Development of real-time pseudo dynamic testing[J]. Earthquake engineering & structural dynamics, 1992,21(1): 79-92.
[2] 吴斌, 宁西占, 许国山, 等. 考虑不完整边界条件的新型混合试验方法[J]. 振动与冲击, 2018, 37(15):150-155.
WU Bin, NING Xizhan, XU Guoshan, et al. A novel hybrid simulation method considering incomplete boundary conditions [J]. Journal of Vibration and Shock, 2018, 37(15): 150-155.
[3] 王燕华, 吕静, 吴京. 基于遗忘因子和LMBP神经网络的混合试验在线模型更新方法[J]. 振动与冲击, 2020, 39(9):42-48.
WANG Yanhua, LÜ Jing, WU Jing. On-line model updating method for hybrid testings based on the forgetting factor and LMBP neural network [J]. Journal of Vibration and Shock, 2020, 39(9):42-48.
[4] 许国山, 郑力畅, 孙国良, 等.走线架系统实时混合实验系统及其性能[J]. 黑龙江科技大学学报, 2021, 31(6): 744-752.
XU Guoshan, Zhen Lichang, SUN Guoliang, et al. Real time hybrid test and performance test of cabling rack system [J]. Journal of Heilongjiang University of Science & Technology, 2021, 31(6): 744-752.
[5] Guo W, Zeng C, Gou H, et al. Real-time hybrid simulation of high-speed train-track-bridge interactions using the moving load convolution integral method [J]. Engineering Structures, 2021, 228: 230-246.
[6] 杨格, 孙红硕, 吴斌, 等. 基于能量一致积分的拉索-阻尼器实时混合试验方法[J]. 振动与冲击, 2022, 41(3):148-153.
YANG Ge, SUN Hongshuo, WU Bin, et al. Real time hybrid test method for cable-damper system based on energy consistent integration [J]. Journal of Vibration and Shock, 2022, 41(3): 148-153.
[7] Wallace M I, Sieber J, Neild S A, et al. Stability analysis of real-time dynamic substructuring using delay differential equation models [J]. Earthquake Engineering & Structural Dynamics, 2005, 34(15): 1817-1832.
[8] Horiuchi T, Inoue M, Konno T, et al. Real-time hybrid experimental system with actuator delay compensation and its application to a piping system with energy absorber [J]. Earthquake Engineering & Structural Dynamics, 1999, 10(28): 1121-1141.
[9] Horiuchi T, Konno T. A new method for compensating actuator delay in real-time hybrid experiments [J]. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001, 359(1786): 1893-1909.
[10] Chen C, Ricles J M. Improving the inverse compensation method for real-time hybrid simulation through a dual compensation scheme [J]. Earthquake Engineering & Structural Dynamics, 2009, 38(10): 1237-1255.
[11] Phillips B M, Spencer Jr B F. Model-based feedforward-feedback actuator control for real-time Hybrid simulation [J]. Journal of Structural engineering, 2013, 139(7): 1205-1214.
[12] Zhou Z, Li N. Improving model-based compensation method for real-time hybrid simulation considering error of identified model [J]. Journal of Vibration and Control, 2021, 27(21-22): 2523-2535.
[13] Li H, Maghareh A, Montoya H, et al. Sliding mode control design for the benchmark problem in real-time hybrid simulation [J]. Mechanical Systems and Signal Processing, 2021, 151:107364.
[14] 宁西占, 周惠蒙, 吴斌, 等. 基于内环H∞控制的实时混合试验[J]. 振动与冲击, 2017, 36(15):57-63.
NING Xizhan, ZHOU Huimeng, WU Bin, et al. Real-time hybrid simulation based on inner-loop H∞ control [J]. Journal of Vibration and Shock, 2017, 36(15): 57-63.
[15] Zhou H, Xu D, Shao X, et al. A robust linear-quadratic-gaussian controller for the real-time hybrid simulation on a benchmark problem [J]. Mechanical Systems and Signal Processing, 2019, 133: 106260.
[16] Chae Y, Kazemibidokhti K, Ricles J M. Adaptive time series compensator for delay compensation of servo-hydraulic actuator systems for real-time hybrid simulation [J]. Earthquake Engineering & Structural Dynamics, 2013, 42(11): 1697-1715.
[17] Strano S, Terzo M. Actuator dynamics compensation for real-time hybrid simulation: an adaptive approach by means of a nonlinear estimator [J]. Nonlinear Dynamics, 2016, 85(4): 2353-2368.
[18] Gálmez C, Fermandois G. Robust adaptive model‐based compensator for the real‐time hybrid simulation benchmark [J]. Structural Control and Health Monitoring, 2022: e2962.
[19] 王贞, 王纯鹏, 吴斌. 磁流变阻尼器的自适应时滞补偿实时混合试验[J]. 振动与冲击, 2019, 38(15):190-195.
WANG Zhen, WANG Chunpeng, WU Bin. Adaptive Delay Compensation for Real-time Hybrid Testing of the Magnetorheological Fluid Damper[J]. Journal of Vibration and Shock, 2019, 38(15): 190-195.
[20] Silva C E, Gomez D, Maghareh A, et al. Benchmark control problem for real-time hybrid simulation [J]. Mechanical Systems and Signal Processing, 2020, 135: 106381.
