Periodic memory state-feedback controller: New formulation, analysis, and design results

Jean François Trégouët, Dimitri Peaucelle, Denis Arzelier, Yoshio Ebihara

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


This paper proposes a unified setup for robust stability and performance analysis and synthesis for periodic polytopic discrete-time systems. Relying on a general formulation for state-feedback periodic memory controllers and a new time-lifting, new sufficient LMI conditions for the existence of robust stability certificates and H2 guaranteed cost control laws are derived. Comparisons of the efficiency of different controller structures illustrate these developments on a numerical example.

Original languageEnglish
Article number6475980
Pages (from-to)1986-2000
Number of pages15
JournalIEEE Transactions on Automatic Control
Issue number8
Publication statusPublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


Dive into the research topics of 'Periodic memory state-feedback controller: New formulation, analysis, and design results'. Together they form a unique fingerprint.

Cite this