Di erential game formulations provide an adequate basis for guidance law synthesis against highly maneuvering targets. This paper deals with a guidance law based on a linear-quadratic di erential game formulation. This guidance law has many attractive properties: it is continuous, linear by the state variables, its gain coe?cients can be precalculated o -line, etc. Nevertheless, due to the lack of "hard" control constraints in the formulation, the magnitude of the control can exceed the admissible level imposed by the nature of the problem. In this paper estimates of the interceptor's control upper bound are obtained depending on the system parameters and the penalty coe?cients of the game index. It is shown that having a su?cient maneuverability advantage and choosing properly the penalty coe?cients, the interceptor can guarantee an arbitrary small miss distance without exceeding the natural control constraints. By manipulat- ing both penalty coe?cients it is possible to reduce signi cantly the maneuverability requirements compared to the limit case of zero interceptor's penalty coe?cient.
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