三维落角约束自适应分数阶滑模制导律设计

摘要

为设计同时受到偏移量和末端攻击角度约束的三维制导律,由于分数阶微积分算子具有记忆性和遗忘性优点,将其引入到滑模面的设计当中;并利用扩张状态观测器,对目标机动加速度和弹目相对运动模型中的耦合项,进行实时估计与补偿;同时结合设计的新型自适应趋近律,得到自适应分数级滑模制导律.通过李雅普诺夫稳定性定理证明了制导律的收敛性.仿真结果证明了制导律的有效性.%To design the 3D guidance law with miss distance and impact angles constraints,the fractional calculus operator is introduced into the design of the sliding mode surface for its advantages of memory and forgetting.The extended state observer is used to estimate and compensate the target maneuvering acceleration and coupling items in the relative motion model.The adaptive fractional sliding mode guidance law is obtained by combining the new adaptive reaching law.The convergence of the guidance law is proved by the Lyapunov stability theorem.The simulation results show the effectiveness of the guidance law.