机翼颤振的鲁棒自适应切换控制

将机翼颤振问题对应的气动伺服弹性系统动态,看做沿飞行轨迹或特定飞行动作的若干模型的连续切换,引入切换系统描述其包线内的动态特性。进而,基于多Lyapunov函数方法和模型参考自适应控制(MRAC)理论,提出一种机翼颤振鲁棒自适应切换控制方案。该方案允许不同速度设计点的模型及对应控制器进行快速切换,以全面覆盖飞行包线内的系统动态,获得良好的机翼颤振主动抑制效果,有效规避自适应控制需要参数缓慢变化的缺陷。同时,构建Lure-Postnikov形式的Lyapunov函数,采用多Lyapunov函数方法,以线性矩阵不等式的形式,推导闭环切换系统为有界MRAC系统的充分条件,确保飞行包线内颤振抑制的全局稳定性。

Active Flutter Suppression Based on Robust Adaptive Switching Control

The flutter of a foil with aeroelastic and servo system dynamics is regarded as the continuous switchings of a series of models on the flight trajectory or specific flight actions,and the switched system is introduced to describe the dynamic characteristics within the flight envelope.Then a robust adaptive switching control scheme for active flutter suppression is presented based on multiple Lyapunov functions and the model reference adaptive control (MRAC) methodology.Fast switchings between the models of different speed points and their corresponding controllers are allowed tO cover the system dynamics within the flight envelope,as well as effectively avoid the disadvantage of adaptive control for demanding slow-varying parameters.Furthermore,using the Lure-Postnikov Lyapunov function,a sufficient condition via linear matrix inequations is deduced,which guarantees that the closed-loop switched system is a bounded MRAC,and thereby ensures the global stability within the flight envelope.