2009年
Constructing a Sequence of Relaxation Problems for Robustness Analysis of Uncertain LTI Systems via Dual LMIs
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009)
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- 開始ページ
- 2174
- 終了ページ
- 2179
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1109/CDC.2009.5399826
- 出版者・発行元
- IEEE
This paper gives a new procedure for robustness analysis of linear time-invariant (LTI) systems whose state space coefficient matrices depend polynomially on multivariate uncertain parameters. By means of dual linear matrix inequalities (LMIs) that characterize performance of certain LTI systems, we firstly reduce these analysis problems into polynomial matrix inequality (PMI) problems. However, these PMI problems are non-convex and hence computationally intractable in general. To get around this difficulty, we construct a sequence of LMI relaxation problems via a simple idea of linearization. In addition, we derive a rank condition on the LMI solution under which the exactness of the analysis result is guaranteed. From the LMI solution satisfying the rank condition, we can easily extract the worst case parameters.
- リンク情報
- ID情報
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- DOI : 10.1109/CDC.2009.5399826
- ISSN : 0743-1546
- Web of Science ID : WOS:000336893602110