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

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

doi:10.1109/TAC.2013.2251820

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

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

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

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 language	English
Article number	6475980
Pages (from-to)	1986-2000
Number of pages	15
Journal	IEEE Transactions on Automatic Control
Volume	58
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2013.2251820
Publication status	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2013.2251820

Cite this

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

Abstract

All Science Journal Classification (ASJC) codes

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