Head Pursuit Optimal Adaptive Sliding Mode Guidance Law

A head pursuit optimal adaptive sliding mode guidance law is proposed to intercept high speed target in a novel head pursuit scenario with low maneuver requirement and energy consumption. Head pursuit is a new trajectory strategy which the interceptor with smaller velocity is placed in front of the target and both of them fly in the same direction. This engagement could reduce relative speed and energy consumption by its special trajectory strategy. Optimal strategy is derived on the basis of minimal control energy to achieve satisfactory precision. But this optimal strategy could only deal with non-maneuver target. Thus, an adaptive sliding mode method is implemented to eliminate the error, which is caused by the target maneuver. And implementation of this method does not need to know the detail information of target acceleration but some estimation to its limitation. What's more, with the constraint the optimal strategy exerts on the acceleration, the maneuver requirement is reduced and the energy consumption is cut down. The robustness and stability of this method has been proved theoretically. At last, the performance and precision of this method is verified with some numerical instances.