基于快速二阶滑模的超音速靶弹控制器设计

Fast Second-Order Sliding Mode Controller Design for the Supersonic Target Missile

针对带有外界干扰和建模不确定性的靶弹姿态运动模型,结合快速二阶滑模和反演控制,设计了一种新的超音速靶弹反演滑模控制器;反演设计分步采用快速二阶滑模控制补偿外界干扰和建模不确定性,并利用Lyapunov稳定性理论证明控制系统稳定;采用滑模观测器对不确定性进行估计,解决了计算膨胀的问题;仿真表明:所设计控制器不仅能在有外界干扰和建模不确定性的情况下快速、准确地跟踪姿态角指令,还解决了舵偏角高频抖振的问题。

Aiming at the target missile attitude motion model with external interference and modeling uncertainties, a fast second-order sliding mode inversion controller was proposed for the system. Fast secondorder sliding mode control was compensated of external interference and modeling uncertainties in backstepping control. Lyapunov stability theory was used to prove that the control system is stable. High order sliding mode observer was used to estimate uncertainty and solve the problem of calculating the expansion. Simulation results show that the designed controller can not only track attitude angle command fast and ac- curately, also address the rudder angle chattering problem.