A Differential Game Based Guidance Law for the Interceptor Missiles

In this paper, a differential game based guidance law for intercepting missiles is proposed. This guidance law, named the zero-sliding guidance law, is combined with the differential game theory. Players in this differential game are the missile and the target, respectively. The cost function is the component of the relative velocity which is based on the zero-sliding guidance law. An optimal strategy pair of the missile and the target can be obtained from the differential game theory based guidance law. The interception can handle both the non-maneuvering target and the maneuvering target with the perfect information. The various simulation results can guarantee the performance and stability of our designed system.