Robust stability of periodic systems with memory: New formulations, analysis and design results

Jean François Trégouët, Yoshio Ebihara, Denis Arzelier, Dimitri Peaucelle, Christelle Pittet, Alexandre Falcoz

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

5 Citations (Scopus)

Abstract

In this paper, the general formulation of periodically time-varying state-feedback controllers with memory is considered for the first time. New analysis and synthesis conditions for robust stability are proposed. The exibility of these new results allows the user to freely add degrees-of-freedom to the control law which appears to effectively reduce the conservatism of the synthesis condition and to increase the stability domain of the closed-loop system in the presence of uncertainties. Furthermore, it is shown that for a particular structure of controllers a more efficient version of the design theorem can be derived by enriching the matrix of slack-variables.

Original languageEnglish
Title of host publicationROCOND'12 - 7th IFAC Symposium on Robust Control Design
Pages684-689
Number of pages6
EditionPART 1
DOIs
Publication statusPublished - Sep 17 2012
Externally publishedYes
Event7th IFAC Symposium on Robust Control Design, ROCOND'12 - Aalborg, Denmark
Duration: Jun 20 2012Jun 22 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume7
ISSN (Print)1474-6670

Conference

Conference7th IFAC Symposium on Robust Control Design, ROCOND'12
CountryDenmark
CityAalborg
Period6/20/126/22/12

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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  • Cite this

    Trégouët, J. F., Ebihara, Y., Arzelier, D., Peaucelle, D., Pittet, C., & Falcoz, A. (2012). Robust stability of periodic systems with memory: New formulations, analysis and design results. In ROCOND'12 - 7th IFAC Symposium on Robust Control Design (PART 1 ed., pp. 684-689). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 7, No. PART 1). https://doi.org/10.3182/20120620-3-DK-2025.00063