Abstract: Based on control theory with finite time convergence, the finite time convergence condition of Bang-Bang sliding-mode guidance law and a hysteresis control switch are proposed for the problem of that a kinetic kill vehicle intercepts a supersonic maneuvering target in near space. The condition of finite time convergence of the sliding-mode guidance law against maneuvering target under control variable constraint is presented based on the principle of nullifying the line-of-sight angular rate. Both planar guidance law and three-dimensional guidance law are designed. The upper and lower thresholds of hysteresis control switch are obtained to eliminate the chattering of line-of-sight angular rate. Simulation results show that the proposed guidance law ensures the finite time convergence of line-of-sight angular rate, and has higher guidance accuracy and robustness to high speed maneuvering target. The hysteresis control switch can remove the chattering of line-of-sight angular rate effectively.

Key words: control science and technology, sliding-mode guidance law, finite time convergence, control variable constraint, hysteresis control switch