Design of Head Pursuit Guidance Law Based on Fractional-Order Sliding Mode Theory

This paper addresses problems on the interception of hypersonic vehicles in near-space. The main contribution is to study a head pursuit guidance law based fractional-order sliding mode theory and analyze stability provided. Firstly, differential operator, which has characteristics such as fast convergence memory, introduced into design surface, can be designed improve performance system. this proved by Lyapunov theory. Based this, considering autopilot dynamic characteristic also analyzed. Finally, numerical simulations are presented results verify that laws avoid overload saturation at initial moment terminal stage speed.