Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems

Yoshio Ebihara; Yuki Kuboyama; Tomomichi Hagiwara; Dimitri Peaucelle; Denis Arzelier

doi:10.1109/CDC.2009.5399919

Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems

Yoshio Ebihara, Yuki Kuboyama, Tomomichi Hagiwara, Dimitri Peaucelle, Denis Arzelier

研究成果: Chapter in Book/Report/Conference proceeding › Conference contribution

12 被引用数 (Scopus)

抄録

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_∞-PTVMSFCs. Based on these LMIs, we next consider robust H_∞-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_∞ 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.

本文言語	英語
ホスト出版物のタイトル	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
ページ	702-707
ページ数	6
DOI	https://doi.org/10.1109/CDC.2009.5399919
出版ステータス	出版済み - 12 1 2009
外部発表	はい
イベント	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, 中国継続期間: 12 15 2009 → 12 18 2009

出版物シリーズ

名前	Proceedings of the IEEE Conference on Decision and Control
ISSN（印刷版）	0191-2216

その他

その他	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country	中国
City	Shanghai
Period	12/15/09 → 12/18/09

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

文献へのアクセス

10.1109/CDC.2009.5399919

フィンガープリント「Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

Ebihara, Y., Kuboyama, Y., Hagiwara, T., Peaucelle, D., & Arzelier, D. (2009). Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 702-707). [5399919] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2009.5399919

Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems. / Ebihara, Yoshio; Kuboyama, Yuki; Hagiwara, Tomomichi; Peaucelle, Dimitri; Arzelier, Denis.

Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 702-707 5399919 (Proceedings of the IEEE Conference on Decision and Control).

研究成果: Chapter in Book/Report/Conference proceeding › Conference contribution

Ebihara, Y, Kuboyama, Y, Hagiwara, T, Peaucelle, D & Arzelier, D 2009, Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5399919, Proceedings of the IEEE Conference on Decision and Control, pp. 702-707, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, 中国, 12/15/09. https://doi.org/10.1109/CDC.2009.5399919

Ebihara Y, Kuboyama Y, Hagiwara T, Peaucelle D, Arzelier D. Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 702-707. 5399919. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2009.5399919

Ebihara, Yoshio ; Kuboyama, Yuki ; Hagiwara, Tomomichi ; Peaucelle, Dimitri ; Arzelier, Denis. / 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 held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 702-707 (Proceedings of the IEEE Conference on Decision and Control).

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abstract = "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∞-PTVMSFCs. Based on these LMIs, we next consider robust H∞-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∞ 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.",

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