QI Huan-huan, XU Jian, FANG Ming-xia. Time-Delayed Feedback Control of Flutter for Supersonic Airfoils[J]. Applied Mathematics and Mechanics, 2016, 37(2): 210-218. doi: 10.3879/j.issn.1000-0887.2016.02.009
 Citation: QI Huan-huan, XU Jian, FANG Ming-xia. Time-Delayed Feedback Control of Flutter for Supersonic Airfoils[J]. Applied Mathematics and Mechanics, 2016, 37(2): 210-218.

# Time-Delayed Feedback Control of Flutter for Supersonic Airfoils

##### doi: 10.3879/j.issn.1000-0887.2016.02.009
• Rev Recd Date: 2015-10-11
• Publish Date: 2016-02-15
• An active delayed feedback control technique was proposed to control the flutter of supersonic airfoils. It’s intended to increase the critical flow velocity. Firstly, the delayed feedback control strategy was designed to suppress the flutter of the 2D airfoil, in turn the delayed differential equations (DDEs) were formulated for the controlled system under consideration. Then, the stability of the uncontrolled system, the nondelay feedback controlled system and the timedelayed feedback controlled system were analytically determined, respectively, and the flutter stability boundary of the delayed feedback controlled system as a function of the time delay was predicted. Finally, numerical simulation in time domain with the MATLAB/SIMULINK software was made to demonstrate the effectiveness of the present theoretical analysis results. The results show that, the critical flow velocity is significantly increased through regulation of the time delay magnitude, and the proposed delayed feedback control strategy for flutter control of supersonic airfoils is not only valid but also easily applicable to engineering structures.
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