Abstract：As the requirement of real-time monitoring and flight test efficiency in flight flutter test, the local linear dynamic-pressure-varying model was established based on frequency domain subspace identification method with pole constraint and state-space interpolation algorithm. The process of velocity extension in flight flutter test combined with model iteration was designed, and the structural response prediction and excitation optimization using flight test data were realized. The accuracy of predicted responses and the effectiveness of excitation optimization were verified by simulation examples and actual flight test data: The accuracy of the predicted response value is gradually improved with the accumulation of flight test data, and the predictions meet the needs of engineering real-time monitoring compared with the actual flight test responses; The optimized excitations can improve the signal-to-noise ratio of responses and avoid the over-limitation of responses, which can improve the efficiency of flight flutter test.
寇宝智，雷鸣，卢晓东. 基于LPV模型的颤振试飞响应预测及激励优化[J]. 振动与冲击, 2022, 41(2): 103-112.
KOU Baozhi，LEI Ming，LU Xiaodong. Response prediction and excitation optimization of flight flutter tests based on a LPV model. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(2): 103-112.
[1] 俱利锋, 刘钰, 梁海州. 某型飞机颤振试飞中多种激励技术的综合应用与研究[J]. 振动与冲击, 2016, 035(007):152-155.
JU Li-Feng，LIANG Hai-Zhou. The Compositive Application and Investigation of Many Kinds of Excitation Methods in the Flutter Flight Test to the X Type Airplane [J]. Journal of Vibration and Shock, 2016, 035(007):152-155.
[2] 雷鸣,杨飞,霍幸莉.民用飞机气动伺服弹性试飞激励响应仿真研究[J].中国测试,2019,45(06):146-152.
LEI Ming, YANG Fei, HUO Xing-li. Research of response simulation in civil aircraft aeroservoelastic flight test excitation [J]. CHINA MEASUREMENT & TEST, 2019, 4 146-152.
[3] 雷鸣,卢晓东,霍幸莉.飞机颤振试飞操纵面脉冲激励响应仿真方法研究[J].装备环境工程,2020,17(09):48-53.
LEI Ming, LU Xiao-dong, HUO Xing-li. Simulation Method of Control Surface Impulse Response of Aircraft Flutter Flight Test [J]. EQUIPMENT ENVIRONMENTAL ENGINEERING,2020,17(09):48-53.
[4] Mckelvey T , Akcay H . [IEEE 1994 33rd IEEE Conference on Decision and Control - Lake Buena Vista, FL, USA (14-16 Dec. 1994)] Proceedings of 1994 33rd IEEE Conference on Decision and Control - An efficient frequency domain state-space identification algorithm[J]. 1994.
[5] McKelvey, T. Frequency Weighted Subspace Based System Identification in the Frequency Domain[C]//Proceedings of 1995 34th IEEE Conference on Decision and Control. New Orleans：IEEE，1995.
[6] Mckelvey T . Frequency weighted subspace based system identification in the frequency domain[C]// IEEE Conference on Decision & Control. IEEE, 2002.
[7] 唐炜,史忠科.飞机颤振模态参数的频域子空间辨识[J].航空学报,2007(05):1175-1180.
TANG Wei, SHI Zhongke. Subspace Identification in Frequency-domain Applied to Aircraft Flutter Modal Parameter Identification [J]. ACTA AERONAUTICA ET ASTRONAUTICA SINICA, 2007(05):1175-1180.
[8] Caigny J , Pintelon R , Camino J F , et al. Interpolated Modeling of LPV Systems Based on Observability and Controllability[J]. IFAC Proceedings Volumes, 2012, 45(16):1773-1778.
[9] 唐炜,史忠科. 飞机颤振试飞数据处理[M]. 1版. 北京: 国防工业出版社, 2018: 225-237.
Tang wei, Shi Zhong-ke. Aircraft Flight Flutter Test Data Processing[M]. 1st edition. National Defence Industry Press, Beijing: 2018: 225-237.
[10] Baldelli D H , Jie Z , Lind R , et al. Flutter-Prediction Tool for Flight-Test-Based Aeroelastic Parameter-Varying Models[J]. Journal of Guidance Control and Dynamics, 2009, 32(1): 158-171.
[11] Desforges M J, Cooper J E. Improved flight flutter testing excitation techniques[R]. EOARD Contract F61775-98-WE012, 1998.
[12] De Caigny Jan, Pintelon Rik, Camino Juan F, et al. Interpolated Modeling of LPV Systems[J]. IEEE Transactions on Control Systems Technology, 2014, 22(6): 2232-2246.
[13] McKelvey, Tomas, Akcay, et al. Subspace-based multivariable system identification from frequency response data. [J]. IEEE Transactions on Automatic Control, 1996, 41(7):960-960.
[14] Mckelvey T. Subspace methods for frequency domain data[C]. American Control Conference. Boston, Massachusetts, USA, 2004.
[15] Tang W. Frequency Domain MIMO Identification for Modeling of Structural Dynamics - ScienceDirect[J]. IFAC Proceedings Volumes, 2011, 44( 1): 4392-4397.
[16] VAN DER AUWERAER H, Guillaume P , Verboven P , et al. Application of a Fast-Stabilizing Frequency Domain Parameter Estimation Method[J]. Journal of Dynamic Systems Measurement & Control, 2001, 123(4):651.
[17] Guillaume P., Verboven P., VANLANDUIT S， et al., A poly-reference implementation of the least-squares complex frequency-domain estimator [C],Proceedings of IMAC 21, Kissimmee, FL, USA, Feb. 2003.
[18]孙鑫晖. 郝木明. 王淮维. PolyMAX模态参数识别算法的快速实现[J]. 振动与冲击. 2011Vol. 30 No.10:13-15+25 .
Sun Xinhui, Hao Muming, Wang Huaiwei. Fast implementation for PolyMAX modal identification algorithm[J]. Journal of Vibration and Shock, 2011Vol. 30 No.10:13-15+25 .
[19] Ko J , Kurdila A J , Strganac T W . Nonlinear Control of a Prototypical Wing Section with Torsional Nonlinearity[J]. Journal of Guidance Control & Dynamics, 1997, 20(6):1181-189.
[20] Silva W A , Strganac T W , Hajj M R . Higher-Order Spectral Analysis of a Nonlinear Pitch and Plunge Apparatus[C]// 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials. Austin：AIAA，2005.
[21] Lind R , Prazenica R J , Brenner M J . Estimating Nonlinearity Using Volterra Kernels in Feedback with Linear Models[J]. Nonlinear Dynamics, 2013, 39(1-2):3-23.
