考虑终端角度约束的自适应积分滑模制导律

针对机动目标拦截末制导问题,提出一种考虑终端角度约束的自适应积分滑模制导律.首先给出一种有限时间收敛的非线性积分滑模面,采用快速终端滑模设计趋近律;然后设计一种对目标机动加速度上界平方进行估计的自适应律,给出具有光滑特性的自适应积分滑模制导律;最后基于有限时间理论证明闭环系统的有限时间收敛特性,并给出滑模变量、视线角以及视线角速率的收敛域.数值仿真结果验证了所提出设计方案的有效性.

Adaptive integral sliding mode guidance law considering impact angel constraint

An adaptive integral sliding mode guidance law with impact angel constraint is proposed for the guidance problem during the maeuvering target interception. Firstly, the nonlinear integral sliding manifold with finite time convergence is designed and the reaching law is given based on the fast terminal sliding mode. Secondly, an adaptive law is proposed to estimate the square of the target maneuvering acceleration bound, based on which the adaptive integral sliding mode guidance law is derived, which possesses the smooth feature. Finally, the finite time convergence of the guidance system both for the reaching phase and on the sliding mold is proved based on the finite stability theory, and the convergence regions of the sliding variable and the system states are derived. Simulation results show the effectiveness of the proposed method.