Title
Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results
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.
Year
DOI
Venue
2013
10.1109/TAC.2013.2251820
Automatic Control, IEEE Transactions
Keywords
Field
DocType
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,${cal H}_{2}$ guaranteed cost,linear matrix inequalities (LMIs),linear periodic systems,state feedback with memory
Mathematical optimization,Control theory,Full state feedback,Control theory,Control engineering,Robust control,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
58
8
0018-9286
Citations 
PageRank 
References 
7
0.52
9
Authors
4
Name
Order
Citations
PageRank
Jean-Francois Tregouet1315.88
Dimitri Peaucelle230931.56
Denis Arzelier327926.58
Yoshio Ebihara416419.52