The H/sub /spl prop// control problem for singularly perturbed discrete-time systems is studied. The system is decomposed into the continuous time slow subsystem and discrete time fast subsystem. The suboptimal state feedback controllers for such systems are formulated using the theory of the two-person zero-sum differential game. The optimal controller for the discrete-time fast subsystem is obtained.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Vu et al. (2002) studied this question.
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