2009年
Further Results on Periodically Time-Varying Memory State-Feedback Controller Synthesis for Discrete-Time Linear Systems
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
- 702
- 終了ページ
- 707
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1109/CDC.2009.5399919
- 出版者・発行元
- IEEE
In this paper, we enhance the quality of our preceding results on periodically time-varying memory state-feedback controller (PTVMSFC) synthesis for discrete-time linear periodic/time-invariant systems. We firstly revisit PTVMSFC synthesis for certain systems and derive a necessary and sufficient LMI condition for the existence of the desired H-infinity-PTVMSFCs. Based on these LMIs, we next consider robust H-infinity-PTVMSFC synthesis for polytopic-type uncertain systems and demonstrate that we can obtain less conservative results. We finally derive a test to verify that the designed PTVMSFC is "exact" in the sense that it attains the best achievable robust H-infinity performance. This exactness verification test works fine in practice, and we show via numerical examples that exact robust control is indeed possible via PTVMSFCs, even for those problems where the standard static state-feedback fails.
- リンク情報
- ID情報
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- DOI : 10.1109/CDC.2009.5399919
- ISSN : 0743-1546
- Web of Science ID : WOS:000336893601033