Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results

Author

Tregouet, Jean-Francois ; Peaucelle, Dimitri ; Arzelier, Denis ; Ebihara, Yoshio

Author_Institution

LAAS, Toulouse, France

Volume

58

Issue

8

fYear

2013

fDate

Aug. 2013

Firstpage

1986

Lastpage

2000

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.

Keywords

control system analysis; control system synthesis; discrete time systems; linear matrix inequalities; robust control; state feedback; H₂ guaranteed cost control law; controller analysis; controller design; controller formulation; linear matrix inequality; periodic memory state-feedback controller; periodic polytopic discrete-time system; robust stability; robust stability certificate; sufficient LMI condition; time-lifting; Analytical models; Periodic structures; Robust stability; Robustness; Stability analysis; Uncertainty; Vectors; ${cal H}_{2}$ guaranteed cost; linear matrix inequalities (LMIs); linear periodic systems; state feedback with memory;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2251820

Filename

6475980