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H∞ model matching problem for singularly perturbed systems

✍ Scribed by Hossein M. Oloomi; Mahmoud E. Sawan

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
1012 KB
Volume
32
Category
Article
ISSN
0005-1098

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✦ Synopsis

The model matching problem for single-input single-output singularly perturbed 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-phase 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 numerically better conditioned and computationally less demanding than the traditional optimal methods. A two-stage algorithm for the computation of the suboptimal TFS solution is presented.

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