H-INFINITY MODEL-MATCHING PROBLEM FOR SINGULARLY PERTURBED SYSTEMS

The model matching problem for single-input single-output singularly p erturbed systems is considered. Two sets of sufficient conditions are obtained to guarantee the existence of a two-frequency-scale solution: one for the optimal and one for a suboptimal case. Both the minimum-p hase and the non-minumum-phase cases are treated. The sub-optimal two- frequency-scale solution constructed in this paper uses the solutions of two well-defined lower-order problems, and therefore it is numerica lly better conditioned and computationally less demanding than the tra ditional optimal methods. A two-stage algorithm for the computation of the suboptimal TFS solution is presented.