滑模变结构有限时间收敛制导律

针对末端有入射角度约束的制导系统,基于滑模变结构控制思想设计了一种有限时间收敛的滑模制导律,使制导系统的视线角速率快速收敛到零,并令弹道倾角收敛到期望的入射角度.通过非线性控制系统的有限时间稳定性理论对该制导律进行了分析,给出了制导系统有限收敛时间的数学形式,证明了制导系统的有限时间收敛性.最后通过仿真进一步验证了该制导方法的有效性和鲁棒性.

Sliding-mode variable structure finite-time convergence guidance law

Based on the sliding-mode variable structure control, a finite-time convergent sliding-mode guidance law is presented for the guidance systems with terminal incident angle constraint. This guidance law ensures the angular rate of the line-of-sight (LOS) to converge to zero rapidly, while the missile angular converges to the desired incident angle. By employing the finite-time stability theory of nonlinear control systems to analyze the guidance law, we obtain the mathematical expression of the convergence time, thus confirming the finite-time convergence of the guidance system. Simulation results show that the guidance law is effective and robust.