ABSTRACT

The point of view which is adopted in most of the publications concerning guidance laws is the following. A known maneuvering missile is guided towards its known target and the problem consists in deriving or in analyzing the acceleration which is required so that the missile reaches its target [2-4, 10, 11, 13-20]. This problem could be called the direct problem. In this paper, on the contrary, what could be called the inverse problem is treated. For, it is here considered a known maneuvering missile guided towards an unknown target. The problem consists in answering the following question. Knowing the trajectory of the maneuvering missile M on a time interval which does not include the time at which M will

reach its target, it is asked to determine the target in the space? Therefore, it is obvious that the classical approach of guidance is not sufficient because, in this approach, the target is known whereas it is not known in the problem that is considered here. This is why it is necessary to derive a new approach to study the guidance laws.