基于扩展滑动模态控制的末制导律设计

对于三维目标拦截问题，提出了一种新的具有鲁棒性的扩展连续滑动模态末制导律。基于变结构控制理论的方法和零化弹目视线角速率的思想，选择一个合适的滑动区域代替传统变结构滑动模态的设计，同时将目标的机动加速度视为已知的有界扰动。设计得到了具有鲁棒性的三维扩展的连续滑动模态末制导律。该方法利用Lyapunov稳定理论严格证明了扩展的连续滑动模态末制导律在滑动区的可达性和渐近稳定性。该方法简单，易于理解，便于工程应用，数字仿真验证了所提出的制导律更适合拦截大机动目标。

Guidance Law Design Based on Extended Sliding Mode Control

For the case of a three-dimensional interception, a new continuous extended sliding mode guidance law with robustness is proposed. Based on variable structure control theory and the method of zeroing the rate of line-of-sight (LOS) angle between missile and target, a suitable sliding sector is chosen instead of conventional sliding mode, and a three-dimensional continuous extended sliding mode guidance law is designed by considering the maneuvering acceleration of target as a disturbance with known boundary. The reachability and asymptotic stability of the sliding sector is strictly proven by Lyapunov stability theory. The new guidance method directly obtains the information of LOS rate measurement and avoids the difficulties associated with target maneuver estimation. The proposed method is simple, so it is convenient for practical implementation. Simulating results show that the new guidance law is more suitable for the missile to intercept the target with high maneuver than the proportional navigation law.