基于改进SDRE非线性鲁棒控制的二元机翼颤振抑制

摘要

In order to achieve the active flutter suppression of a two-dimensional airfoil,an improved statedependent Riccati equation (SDRE) nonlinear robust control law was proposed based on the Lyapunov stability theory.The model of the two-dimensional airfoil with leading-and trailing-edge control surfaces was described in state space,and then the model was transformed into a form where the input matrix B is a full row rank matrix.The problem that the SDRE nonlinear control method can't be directly applied to the active flutter suppression was solved.The simulation results were presented,which show the closed-loop system approaches to stability quickly under the impact of wind gust even if there is a hard constraint on the control input and the flutter suppression can be accomplished effectively.In addition,adjusting the weighting parameters Q and R can decrease the magnitude of control inputs.%为有效抑制二元机翼颤振现象,采用Lyapunov稳定性理论设计了一种改进状态相关黎卡提方程(SDRE)的非线性鲁棒控制律.将含前/后缘双控制面的二元机翼模型以状态空间形式描述并将该模型转化成输入矩阵B为行满秩的形式,进而解决了基于SDRE的非线性控制方法不能直接应用于二元机翼颤振主动抑制的问题.仿真结果表明,在阵风干扰和控制面存在偏转角限制的情况下,闭环系统能快速达到稳定状态,颤振现象得到有效抑制.通过调节权重矩阵Q和R,能够减小控制输入幅值.