Abstract
The nature of the missile interception problem with two noncooperative players leads to the field of differential games Introducing nonlinear uncertain models can potentially lead to nonexistence of game theoretic equilibrium strategies, computationally intractable problems, and/or highly reduced performance of the strategies The objective is therefore to obtain robust strategies that provide an upper bound on the performance of the nonlinear system against all allowable disturbances and model uncertainties Robust programming and more specific robust linear matrix inequality techniques have proved to be an extremely effective tool to design such robust control strategies This paper extends the existing robust disturbance feedback framework such that it can effectively deal with a large class of model mismatches and uncertainties such as target maneuvers and nonlinearities The implementation of these strategies in a receding horizon fashion on missile intercept problems leads to very satisfactory results when compared to traditional guidance laws
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