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H∞ controller reduction for uncertain systems via rank constrained linear matrix inequalities

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Abstract

We study the H Controller reduction problem for structured uncertain systems whose uncertainties are governed by Integral Quadratic Constraints. A sufficient condition for obtaining a reduced-order controller is given in terms of a system of rank constrained Linear Matrix Inequalities which can be solved using existing algorithms. In this approach, the balancing state transformation is a decision variable allowing better performance of the reduced-order controller than the case of a fixed state transformation. The main result is illustrated by two examples.

Original languageEnglish
Title of host publicationProceedings of 2009 7th Asian Control Conference, ASCC 2009
Pages654-659
Number of pages6
Publication statusPublished - 2009
Externally publishedYes
Event2009 7th Asian Control Conference - Hong Kong, China
Duration: 27 Aug 200929 Aug 2009

Publication series

NameProceedings of 2009 7th Asian Control Conference, ASCC 2009

Conference

Conference2009 7th Asian Control Conference
Abbreviated titleASCC 2009
Country/TerritoryChina
CityHong Kong
Period27/08/0929/08/09

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