基于鲁棒精确微分器的分数阶滑模制导律设计

Fractional order sliding mode guidance law based on robust exact differentiator

针对具有碰撞角约束的机动目标拦截问题,提出一种有限时间收敛的分数阶终端滑模制导律。首先,建立二维平面的导弹目标相对运动模型。其次,分别选择分数阶滑模面和分数阶趋近律,设计分数阶终端滑模制导律,并对制导系统的有限时间稳定性进行了证明。同时,为准确获得目标机动信息,提出一种基于鲁棒精确微分器的目标机动加速度估计方法,对制导律进行补偿。最后,通过与相关制导律的对比仿真,验证了所提分数阶终端滑模制导律具有较高的制导精度,同时可有效抑制滑模抖振。

A fractional order terminal sliding mode guidance law with finite time convergence is proposed for maneuvering target interception with impact angle constraint.Firstly,the relative motion model of missile and target in two-dimensional plane is established.Secondly,the fractional order sliding surface and fractional order reaching law are selected respectively to design the fractional order terminal sliding mode guidance law,and the finite time stability of the guidance system is proved.At the same time,for the target maneuvering information acquisition,a target maneuvering acceleration estimation method based on robust precise differentiator is proposed to compensate the guidance law.Finally,the simulation results are compared with relevant guidance laws,the simulation results show that the proposed fractional order terminal sliding mode guidance law has a higher guidance accuracy and can effectively suppress sliding mode chattering.