Linear quadratic differential game guidance law with terminal constraints

The linear quadratic differential game guidance problem with terminal constraints is studied. Firstly, zero-effort miss distance and zero-effort impact angle are defined as new state variables to reduce the order of the system by use of terminal projection method. Then, based on the zero-sum differential game theory, a guidance law is derived. The navigation gains, the existence regions of saddle-point solution and the performance of perfect interception are analyzed. Finally, the simulations are carried out for the constant maneuvering target and the square wave maneuvering target interception, respectively. The results show that this guidance law can satisfy the requirements of small miss distance and impact angle error to improve the warhead lethality when the missile has enough maneuvering capability.