基于浸入与不变的气动弹性系统反演滑模控制  

Backstepping Sliding Mode Control of Aeroelastic System Based on Immersion and Invariance

作　　者：侯小燕[1] 薛文涛[1] 张晨[1] 

机构地区：[1]江苏科技大学,镇江212003

出　　处：《航天控制》2016年第4期3-9,28,共8页Aerospace Control

基　　金：国家自然科学基金(61203024)

摘　　要：针对外部扰动不确定的机翼气动弹性颤振问题,提出一种基于系统浸入与流形不变的自适应反演滑模控制方法。首先建立了带双控面和不确定外部扰动的气动弹性系统模型。然后结合反演和滑模控制理论设计了自适应Super-twisting反演滑模控制器,其中自适应扰动估计的设计采用浸入与不变方法,在系统整体自适应律中加入额外补偿项并建立扰动估计误差流形,通过自适应律的设计来保证误差流形的不变及吸引,从而保证扰动估计误差的收敛。最后对设计的控制系统进行了Lyapunov稳定性证明和仿真。结果表明,利用该方法设计的控制器外部扰动估计准确,翼段浮沉位移和俯仰角的控制优于传统的自适应滑模控制,气动弹性系统的稳定性和自适应性有所提高。In view of the aeroelastic flutter problem of airfoil with uncertain external disturbances, a method of adaptive backstepping sliding mode control（ SMC ） based on system immersion and manifold invariant （I＆I） for aeroelasticity system is proposed. Firstly, the model of aeroelastic system controlled by double control surfaces is established with uncertain external disturbances. Then the adaptive superwisting back- stepping sliding mode controller is designed, which is based on backstepping and sliding mode control theories, the I＆I method is used to design the adaptive disturbance estimation, and the additional compensation item is involved into the whole adaptive law and the disturbance estimation error manifold is established by using the designed adaptive law to ensure the invariant and attractive of error manifold. Therefore, the convergence of disturbance estimation error can be guaranteed. Finally, the Lyapunov stability is proved for the designed controlled system. The simulation results show that the designed controller can accurately estimate the external disturbance and the control effect of plunge displacement and pitch angle is superior to the classical adaptive sliding mode control. Thus, the stability and adaptivity of aeroelastic system are improved.

关 键 词：气动弹性机翼 浸入与不变 反演 自适应 Super—twisting 滑模控制 

分 类 号：TP316.2[自动化与计算机技术—计算机软件与理论]