风扰下非线性气弹系统的分数阶自适应控制  

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

作　　者：李迺璐 徐文涛 骆紫薇 穆安乐[2] LI Nailu;XU Wentao;LUO Ziwei;MU Anle(College of Electrical,Energy and Power Engineering,Yangzhou University,Yangzhou 225100,China;School of Mechanical and Precision Instrument Engineering,Xi’an University of Technology,Xi’an 710048,China)

机构地区：[1]扬州大学电气与能源动力工程学院,江苏扬州225100 [2]西安理工大学机械与精密仪器工程学院,西安710048

出　　处：《振动与冲击》2024年第20期1-9,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(52205132)。

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。该研究提出了一种基于输出反馈的分数阶自适应控制器(fractional-order direct adaptive controller,FDAC),用于风速扰动下非线性气弹系统的振动控制。首先,基于分数阶微积分和直接自适应控制理论设计了FDAC;其次,理论推导了合适的分数阶参数范围,证明了FDAC比整数阶自适应控制器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;最后,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。The behaviors of nonlinear aeroelasitc systems show limit cycle oscillations under smooth airflow and irregular,nonlinear,randomly varying oscillations under turbulence.A fractional-order direct adaptive controller(FDAC)based on output feedback was proposed to suppress the vibration of a nonlinear aeroelastic system under wind disturbance.First,the FDAC was designed based on fractional calcus and the direct adaptive control theory.Then,the appropriate range of fractional order parameters were deduced.The advantage of FDAC on aeroelastic control and disturbance rejection was theoretically analyzed,compared with integral order direct adaptive controller.The stability of the proposed controller was proved by the 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 systems.The simulation results also verify the theoretical inclusions.

关 键 词：非线性气弹系统 风扰 振动控制 分数阶自适应控制器(FDAC) 

分 类 号：TK83[动力工程及工程热物理—流体机械及工程]