𝔖 Bobbio Scriptorium
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ROBUST STABILIZATION IN THE BIBO GAP TOPOLOGY

✍ Scribed by C. Bonnet; J. R. Partington


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
360 KB
Volume
7
Category
Article
ISSN
1049-8923

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✦ Synopsis


We consider robust stabilization of both linear causal discrete-time systems in an l-setting and linear causal continuous-time systems in an ΒΈ-setting. We introduce a new metric in the space of l(ΒΈ)-stabilizable systems in terms of their coprime factorizations. This metric is easily computed and induces the gap topology. We show how robustness optimization in this metric is related to robustness optimization for normalized factor perturbations. In each case, the optimal controller determined by Glover and McFarlane (and studied byGeorgiou and Smith) in the l (ΒΈ)-setting plays an important role. Finally we show that this metric is easily linked to approximation and identification.


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