Robust H2 control of uncertain discrete-time linear systems with periodically time-varying memory state-feedback

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This study is concerned with the synthesis of periodically time-varying memory state-feedback controllers (PTVMSFCs) for discrete-time linear systems. In our preceding studies, we have already established a solid theoretical basis for the LMI-based (robust) H-PTVMSFCs synthesis, and the goal of this paper is to extend those results to the H2 performance criterion. In the H2 case, the main difficulty stems from the fact that we have to ensure the existence of common auxiliary variables for multiple LMI conditions that are related to the Lyapunov inequality and inequalities for bounding traces that characterize the H2 norm. We can indeed overcome this difficulty and derive a necessary and sufficient LMI condition for the optimal H2-PTVMSFC synthesis. Based on this result, we also consider robust H2-PTVMSFC synthesis for polytopictype uncertain LTI systems.

Original languageEnglish
Title of host publication2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010
Pages357-362
Number of pages6
DOIs
Publication statusPublished - Dec 13 2010
Externally publishedYes
Event2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010 - Yokohama, Japan
Duration: Sep 8 2010Sep 10 2010

Publication series

NameProceedings of the IEEE International Symposium on Computer-Aided Control System Design

Other

Other2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010
CountryJapan
CityYokohama
Period9/8/109/10/10

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All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Control and Optimization

Cite this

Ebihara, Y. (2010). Robust H2 control of uncertain discrete-time linear systems with periodically time-varying memory state-feedback. In 2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010 (pp. 357-362). [5612782] (Proceedings of the IEEE International Symposium on Computer-Aided Control System Design). https://doi.org/10.1109/CACSD.2010.5612782