Operator-based vibration control for aircraft vertical tail with piezoelectric actuator

In this paper, vibration control method for aircraft vertical tail with piezoelectric actuator is proposed. For describing the vibration response of aircraft vertical tail, a dynamic model of the tail is constructed. With considering the effect of hysteresis from the piezoelectric actuator, operator based controllers are designed to control the vibration of the tail and to guarantee the desired vibration control performance of the tail. Finally, numerical simulation results are shown to verify the effectiveness of the proposed method.

[1]  Guo-Qing Li,et al.  Equivalent electric circuits of thin plates with two-dimensional piezoelectric actuators , 2005 .

[2]  M. K. Singha,et al.  Nonlinear vibration of symmetrically laminated composite skew plates by finite element method , 2007 .

[3]  Rui J. P. de Figueiredo,et al.  Nonlinear Feedback Control Systems: An Operator Theory Approach , 1993 .

[4]  C. Fuller,et al.  Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates , 1991 .

[5]  Arthur W. Leissa,et al.  Vibration of Plates , 2021, Solid Acoustic Waves and Vibration.

[6]  T. Bailey,et al.  Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam , 1985 .

[7]  Chun-Yi Su,et al.  Operator-based robust control for nonlinear systems with Prandtl–Ishlinskii hysteresis , 2011, Int. J. Syst. Sci..

[8]  M. Brokate,et al.  Hysteresis and Phase Transitions , 1996 .

[9]  S. K. Mukarram,et al.  Adaptive variable structure control of nonlinear systems , 1999, 1999 European Control Conference (ECC).

[10]  Mingcong Deng,et al.  Experimental Study on Operator-based Nonlinear Vibration Control System Design of a Flexible Arm with Piezoelectric Actuator , 2007, 2007 International Conference on Mechatronics and Automation.

[11]  Akira Inoue,et al.  Operator-based nonlinear feedback control design using robust right coprime factorization , 2006, IEEE Transactions on Automatic Control.

[12]  Subhash Rakheja,et al.  Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis , 2005, IEEE Transactions on Automatic Control.