Title: On simultaneous H∞ control and strong H∞ stabilization
Abstract: In this note, the simultaneous H∞ control problem is addressed. It is first shown that the existence of a single controller which simultaneously stabilizes two systems with a given H∞ norm level is equivalent to that of a strong H∞ stabilization controller of an associated system. Moreover, the result is extended to the case involving r(>2) systems. Then a sufficient condition for the strong H∞ stabilization is proposed based on the bounded real lemma. Finally, a simple numerical example is presented to show the effectiveness of the result.
Publication Year: 2000
Publication Date: 2000-06-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 49
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