基于观测器的有限时间收敛的滑模导引律设计

Design of an observer-based sliding mode guidance law with finite time convergence

针对平面内弹目相对运动的末制导问题,考虑影响制导性能的目标机动和弹体动态延迟特性2个主要因素,设计渐近收敛和有限时间收敛的2种滑模导引律。选取具有动态滑模变量的线性滑模面,设计渐近稳定的滑模导引律。进一步在动态滑模变量的基础上,选取具有有限时间收敛特性的线性滑模面,设计有限时间收敛的滑模导引律。在导引律实现过程中,利用非齐次干扰观测器对系统未知扰动进行跟踪估计。在目标进行2种机动情况下,选取不同的动态延迟参数。研究结果表明:数值仿真分别验证了所设计的2种滑模导引律的有效性和可实现性。

Considering the terminal guidance issue that the missile and the target were relatively moving in a plane, two major factors of the target＇s maneuvering and missile＇s dynamic delay characteristics were considered. Then, two sliding mode guidance laws with asymptotic convergence and finite time convergence were respectively designed. Firstly, selecting the linear sliding manifold with dynamic sliding mode variable, a sliding mode guidance law with asymptotic stability was proposed. After that, a linear sliding mode manifold with finite time convergence was further selected on the basis of dynamic sliding mode variable, and a sliding mode guidance law with finite time convergence was presented. In the process of implementing the guidance law, an inhomogeneous disturbance observer was employed to estimate the unknown disturbance of the system. Finally, two cases for the different target acceleration and selecting different dynamic delay parameters were considered. The results show that simulation comparison results are provided to demonstrate the effectiveness and the realizability of the proposed two sliding mode guidance laws from.