| Citation: | NIE Xueyuan, ZHENG Guannan, YANG Guoweiet al. Time delay feedback control for transonic flutter of airfoil with free-play nonlinearity[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(10): 1980-1988. doi: 10.13700/j.bh.1001-5965.2020.0356(in Chinese)
|
In active control of flutter, time delays are inevitably introduced and have significant influence on the stability of the closed-loop controlled aeroelastic system. At present, study on the flutter suppression has been focused on subsonic and supersonic regimes, where aerodynamic forces are modeled with the linear theory. However, it is noticed that civil or military aircraft usually cruise at the transonic regime, and the control surface deflection is used as a control variable in the active control. In view of the above situation, the method of time delay feedback control for free-play nonlinear system transonic flutter is developed based on the aerodynamic forces reduced order modeling. In the method, the unsteady aerodynamic forces models for transonic regime were firstly identified with the white noise as excitation signals, and were combined with free-play nonlinear structure model to construct the state-space models for the controlled aeroelastic system. Then, a state transformation with the integral item was introduced to make the input-delay system be transformed into a system without delay. Finally, optimum time delay feedback control is designed by optimum control theory. Simulation results indicate that, for the system with time delay, the control algorithm may fail to suppress the flutter if time delay is not considered in control design. The effectiveness of the proposed time delay feedback control algorithm isn't influenced by the magnitude of the time delays. The developed method can obtain excellent flutter suppression results with either small or large input time delay.
| [1] |
王在华, 胡海岩. 时滞动力系统的稳定性与分岔: 从理论走向应用[J]. 力学进展, 2013, 43(1): 3-20. https://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201301002.htm
WANG Z H, HU H Y. Stability and bifurcation of delayed dynamic systems: From theory to application[J]. Advances in Mechanics, 2013, 43(1): 3-20(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201301002.htm
|
| [2] |
胡海岩, 赵永辉, 黄锐. 飞机结构气动弹性分析与控制研究[J]. 力学学报, 2016, 48(1): 1-27. doi: 10.3969/j.issn.1006-6616.2016.01.001
HU H Y, ZHAO Y H, HUANG R. Studies on aeroelastic analysis and control of aircraft structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(1): 1-27(in Chinese). doi: 10.3969/j.issn.1006-6616.2016.01.001
|
| [3] |
ZHAO Y H. Stability of a time-delayed aeroelastic system with a control surface[J]. Aerospace Science and Technology, 2011, 15(1): 72-77. doi: 10.1016/j.ast.2010.05.008
|
| [4] |
HUANG R, HI H Y, ZHAO Y H. Designing active flutter suppression for high-dimensional aeroelastic systems involving a control delay[J]. Journal of Fluids and Structures, 2012, 34: 33-50. doi: 10.1016/j.jfluidstructs.2012.05.012
|
| [5] |
LUO M X, GAO M Z, CAI G P. Delayed full-state feedback control of airfoil flutter using sliding mode control method[J]. Journal of Fluids and Structures, 2016, 61: 262-273. doi: 10.1016/j.jfluidstructs.2015.11.012
|
| [6] |
GAP M Z, CAI G P. Finite-time fault-tolerant control for flutter involving control delay[J]. Journal of the Franklin Institute, 2016, 353(9): 2009-2029. doi: 10.1016/j.jfranklin.2016.03.010
|
| [7] |
XU B, ZHANG W, MA J. Stability and Hopf bifurcation of a two-dimensional supersonic airfoil with a time-delayed feedback control surface[J]. Nonlinear Dynamics, 2014, 77(3): 1-19.
|
| [8] |
RAMESH M, NARAYANAN S. Controlling chaotic motions in a two-dimensional airfoil using time-delayed feedback[J]. Journal of Sound and Vibration, 2001, 239(5): 1037-1049. doi: 10.1006/jsvi.2000.3181
|
| [9] |
MARZOCCA P, LIBRESU L, SILVA W A. Time-delay effects on linear/nonlinear feedback control of simple aeroelastic systems[J]. Journal of Guidance, Control, and Dynamics, 2005, 28(1): 53-62. doi: 10.2514/1.4335
|
| [10] |
ARAUJO J M, SANTOS T L M. Control of second-order asymmetric systems with time delay: Smith predictor approach[J]. Mechanical Systems and Signal Processing, 2019, 137: 106355.
|
| [11] |
聂雪媛, 杨国伟. 基于CFD降阶模型的阵风减缓主动控制研究[J]. 航空学报, 2015, 36(4): 1103-1111. https://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201504008.htm
NIE X Y, YANG G W. Gust alleviation active control based on CFD reduced-order models[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(4): 1103-1111(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201504008.htm
|
| [12] |
黄程德, 郑冠男, 杨国伟, 等. 基于CFD/CSD耦合含间隙三维全动舵面气动弹性研究[J]. 应用力学学报, 2018, 35(1): 1-7. https://www.cnki.com.cn/Article/CJFDTOTAL-YYLX201801001.htm
HUANG C D, ZHENG G N, YANG G W, et al. Aeroelastic study of a three dimensional all-movable wing with free play using CFD/CSD coupling[J]. Chinese Journal of Applied Mechanics, 2018, 35(1): 1-7(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YYLX201801001.htm
|
| [13] |
KWON W H, PEARSON A E. Feedback stabilization of linear systems with delayed control[J]. IEEE Transactions on Automatic Control, 1980, 25(2): 266-269. doi: 10.1109/TAC.1980.1102288
|
| [14] |
CAI G P, HUANG J Z. Instantaneous optimal method for vibration control of linear sampled-data systems with time delay in control[J]. Journal of Sound and Vibration, 2003, 262(5): 1057-1071. doi: 10.1016/S0022-460X(02)01083-0
|
| [15] |
KIM D H, LEE I. Transonic and low-supersonic aeroelastic analysis of a two-degree-of-freedom airfoil with a freeplay non-linearity[J]. Journal of Sound and Vibration, 2000, 234(5): 859-880. doi: 10.1006/jsvi.2000.2907
|
| [16] |
HE S, YANG Z C, GU Y S. Nonlinear dynamics of an aeroelastic airfoil with free-play in transonic flow[J]. Nonlinear Dynamics, 2017, 87(4): 2099-2125. doi: 10.1007/s11071-016-3176-4
|
Figures(13) / Tables(1)
Copyright © Journal of Beijing University of Aeronautics and Astronautics
Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn
Supported by:
Beijing Renhe Information Technology Co., Ltd.
DownLoad:
