变体飞行器LPV建模与鲁棒增益调度控制

LPV Modeling and Robust Gain Scheduling Control of Morphing Aircraft

以可变翼展的变体飞行器为对象,研究了一类变体飞行器的建模与控制问题。分析了飞行器纵向气动参数与翼展变形的关系,构建了气动参数函数。用Jacobian线性化方法,建立了飞行器的线性变参数(Linear pa-rameter varying,LPV)模型,分析了变体过程中飞行器特征的变化。为保证变体过程的稳定,采用鲁棒增益调度控制方法设计了全局控制器,其设计条件具有线性矩阵不等式(Linear matrix inequality,LMI)的形式。对采用所设计控制器的变体飞行器进行了仿真验证。结果表明:翼展变形对飞行器气动参数有明确的影响,能够直接改变飞行器的系统特征;设计的鲁棒增益调度控制器能实现预期的运动过程,并保证变体过程的全局稳定。

The modeling and control on a class of variable-span morphing aircraft are studied. The longitudinal aerodynamic parameters of morphing aircraft are analyzed corresponding to the span variation to construct aerodynamic parameter functions. The linear parameter varying （LPV） model of morphing aircraft is obtained via Jacobian linearization approach. The change of the aircraftrs eigenvalues while morphing is discussed. A robust gain scheduling control methodology, with linear matrix inequality （LMI） form is developed, to guarantee the stability of the aircraft while morphing. A numerical simulation of morphing aircraft is demonstrated with the controller synthesis. The results show that, the span variation can affect the aerodynamic parameters of morphing aircraft obviously, which directly changes the aircraft＇s characteristics. The robust gain scheduling controller can accomplish the target motion of morphing aircraft with a guarantee of global stability while morphing.