二元机翼/外挂系统的颤振鲁棒抑制

Robust flutter suppression for a 2-dimensional wing-store system

针对气动弹性系统中由于来流速度扰动引起的不确定性,发展了一种新的不确定性建模方法.与传统的不确定性建模方法相比,该方法从气动弹性建模的根源出发,运用信号变换法则使系统的不确定性维数得以降维,进而可以更有效地设计颤振鲁棒控制系统.为了验证新方法的有效性,以一类含多操纵面的二元机翼/外挂系统为研究对象,运用偶极子网格法建立了该机翼/外挂系统的气动伺服弹性运动微分方程,设计了颤振鲁棒抑制系统.数值仿真结果表明,基于新方法的颤振鲁棒抑制系统可以有效地提高该系统的颤振临界速度.

In this paper, a new scheme is proposed to model the flow speed uncertainties in an aeroelastic system. Compared with the traditional method, the new scheme is based on a signal transformation so as to reduce the dimension of the mathematical model of the flow speed uncertainties. Thus, the robust flutter controller can be designed easily via the reduced-order model of the aeroelastic system. To illustrate the procedure of proposed scheme, the dynamic equation of a two-dimensional wing-store aero-servo-elastic system with flow speed uncertainties is modeled by using the proposed scheme. The aerodynamic forces of the wing section and the store are computed through the use of doublet lattice approach and slender-body aerodynamic theory, respectively. To suppress the flutter instability of the wing-store aeroelastic system with flow speed uncertainties, the trailing-edge control surface is used as a control input and a single-input and multi-output （SIMO） controller is designed via the robust control theory. Numerical results indicate that, with the proposed scheme, the robust flutter control law is efficient and the flutter boundary of aeroelastic system can be greatly expanded.