风扰下非线性气弹系统的分数阶自适应振动控制

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (20) : 1-9.

论文

风扰下非线性气弹系统的分数阶自适应振动控制

李迺璐1，徐文涛1，骆紫薇1，穆安乐2

作者信息 +

Fractional-order adaptive control of nonlinear aeroelastic system with wind disturbance

LI Nailu1，XU Wentao1，LUO Ziwei1，MU Anle2

Author information +

文章历史 +

摘要

非线性气弹系统在平稳风速下呈现极限振荡环的振动特性，在风扰下呈现无序、非线性和随机的振动特性。本文提出了一种基于输出反馈的分数阶自适应控制器(FDAC)，用于风速扰动下非线性气弹系统的振动控制。首先，本文基于分数阶微积分和直接自适应控制理论设计了分数阶自适应振动控制器。其次，理论推导了合适的分数阶参数范围，理论分析了FDAC比整数阶自适应控制器(DAC)在气弹控制和抗扰控制方面更具优越性，并利用Kalman-Yacubovich定理证明了控制系统的稳定性。本文通过仿真试验,说明了FDAC能够在大范围、随机强风扰动下显著提高非线性气弹系统的振动控制和抗扰控制性能，试验结果验证了理论推导。

Abstract

The behaviors of nonlinear aeroelasitc system show limit cycle oscillations under smooth airflow and irregular, nonlinear, randomly varying oscillations under the turbulence. A fractional-order direct adaptive controller (FDAC) based on output feedback is proposed to suppress the vibration of nonlinear aeroelastic system under wind disturbance. First, the FDAC is designed based on fractional calcus and direct adaptive control theory. Then, the appropriate range of fractional order parameters are deduced. The advantage of FDAC on aeroelastic control and disturbance rejection is theoretically analyzed, compared with integral order direct adaptive controller (DAC). The stability of proposed controller is proved by Kalman-Yacubovich lemma. Simulation results reveal that the proposed FDAC can significantly improve the performance of vibration control and disturbance rejection, under large and random wind disturbance for nonlinear aeroelastic system. The simulation results also verify the theoretical inclusions.

导出引用

李迺璐1, 徐文涛1, 骆紫薇1, 穆安乐2. 风扰下非线性气弹系统的分数阶自适应振动控制[J]. 振动与冲击, 2024, 43(20): 1-9

LI Nailu1, XU Wentao1, LUO Ziwei1, MU Anle2. Fractional-order adaptive control of nonlinear aeroelastic system with wind disturbance[J]. Journal of Vibration and Shock, 2024, 43(20): 1-9

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