Name
Title | ||
|---|---|---|
Further results on periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems |
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. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/CDC.2009.5399919 | Shanghai |
Keywords | Field | DocType |
H¿ control,control system synthesis,discrete time systems,linear matrix inequalities,linear systems,periodic control,robust control,state feedback,time-varying systems,uncertain systems,LMI condition,discrete time linear periodic systems,linear matrix inequalities,periodically time-varying memory state feedback controller synthesis,polytopic-type uncertain systems,robust H infinity control,static state feedback,time-invariant systems,Periodically time-varying memory controller,linear matrix inequality,robust control | Mathematical optimization,Control theory,Linear system,Computer science,Control theory,Full state feedback,Robustness (computer science),Robust control,Uncertain systems,Periodic graph (geometry),Linear matrix inequality | Conference |
ISSN | ISBN | Citations |
0191-2216 E-ISBN : 978-1-4244-3872-3 | 978-1-4244-3872-3 | 5 |
PageRank | References | Authors |
0.57 | 8 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ebihara, Y. | 1 | 5 | 0.57 |
| Kuboyama, Y. | 2 | 5 | 0.57 |
| Hagiwara, T. | 3 | 5 | 0.57 |
| Peaucelle, Dimitri | 4 | 50 | 5.26 |