TY - GEN
T1 - Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems
AU - Ebihara, Yoshio
AU - Kuboyama, Yuki
AU - Hagiwara, Tomomichi
AU - Peaucelle, Dimitri
AU - Arzelier, Denis
PY - 2009/12/1
Y1 - 2009/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77950826801&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2009.5399919
DO - 10.1109/CDC.2009.5399919
M3 - Conference contribution
AN - SCOPUS:77950826801
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 702
EP - 707
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -