Adaptive sliding-mode guidance of a homing missile

Sliding-mode control is applied to design robust homing missile guidance law. The sufficient and necessary condition for the sliding-mode motion of a linear time-varying system not to be affected by disturbances and the sufficient condition for that motion not to be affected by parameter perturbations are given. An adaptive reaching law of sliding mode for a linear time-varying system is then presented and used to derive an adaptive sliding-mode guidance law. Theoretical analysis and simulation results show that the adaptive sliding-mode guidance law is robust against disturbances and parameter perturbations. Furthermore, the presented guidance law is simple to implement in practice.