基于二阶滑模的BTT导弹反演滑模控制

针对具有非匹配不确定性的倾斜转弯(bank-to-turn, BTT)导弹非线性动力学模型，基于反演思想和二阶终端滑模控制方法，设计了一种新的BTT导弹反演滑模控制器。反演设计的每一步均采用滑模控制对不确定性进行补偿，并在最后一步设计中采用非奇异二阶终端滑模控制，既能防止抖振对舵机造成损坏，又减小了累积误差。采用精确微分器解决“计算膨胀”问题，并证明了跟踪误差最终有界。仿真结果表明,通过适当选取设计参数，跟踪误差将收敛到原点附近任意小的邻域内。

Backstepping sliding mode control for BTT missiles based on second-order sliding mode

Based on backstepping design and second-order sliding mode control,a new backstepping sliding mode controller is designed for back-to-turn(BTT) missiles nonlinear dynamics with unmatched uncertainties.Sliding mode control is used in each step of the backstepping design to compensate for uncertainty,and nonsingular second-order sliding mode control is used in the last step of the backstepping design.In this way,the chattering problem which does harm to rudders can be avoided,meanwhile,the accumulated error i...