带有双闭环滤波器的有限时间稳定变结构制导律

 在末制导过程中，为了取得较高的命中精度，制导律必须使视线(LOS)角速率较快收敛。为了提高制导律的性能，在假设未知不确定时变项有界的前提下，对带有双闭环滤波器的变结构制导律进行了研究。提出的变结构制导律能够使视线角速率及其一阶导数在有限时间内收敛至滑动模态域内，得到更加精确的等效控制并有效克服干扰的影响。通过引入高阶滑动模态，对有关定理进行了重新证明，简化了证明过程，加强了定理的结论，弱化了定理成立的条件。最后利用数值仿真验证了所研究方法的有效性。

Finite Time Stable Variable Structure Guidance Law with Double Closed-loop Filters

In order to achieve higher interception precision, in the process of terminal guidance, the guidance law must ensure that the line of sight (LOS) angular rate converge to zero rapidly. To improve the performance of the guidance law, a variable structure guidance law with double closed-loop filters is studied while assuming the unavailable information as bounded time-varying uncertainties. The method presented here is able to make the LOS angular rate and its first order derivative converge to the sliding mode in a finite time, realize the acquisition of equivalent control accurately and overcome the influence of disturbance. By using the high-order sliding mode, some related theorems are proved again, while the proving process is simplified, the conclusions of the theorems are reinforced and the preconditions are less rigorous. Finally, the effectiveness of the proposed approach is validated by numerical simulation.