Title
Periodic Fir Controller Synthesis For Discrete-Time Uncertain Linear Systems
Abstract
This paper is concerned with robust state-feedback controller synthesis for discrete-time linear periodic/time-invariant systems subject to polytopic-type parametric uncertainties. In recent studies, some of the authors conceived an LMI-based approach to periodically time-varying memory controller (PTVMC) synthesis and proved that this approach is indeed effective to get less conservative robust controller design procedures. However, since the peculiar controller structure requires to reset memory to zero in a periodic way, it is pointed out that the control performance depends on the timing of implementation. In this paper we tackle this issue and propose a reset-less state-feedback Periodic FIR Controller (PFIRC), which turns out to be suitable to improve robustness on periodic and time-invariant systems. Moreover, as a special case, a design condition is provided for FIR-type LTI controllers that robustly stabilize uncertain LTI systems. Numerical examples illustrate the efficiency of the proposed approaches.
Year
DOI
Venue
2011
10.1109/CDC.2011.6161068
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC)
Keywords
Field
DocType
discrete-time systems, periodic FIR controller, parametric uncertainties, LMI
Control theory,Linear system,Control theory,Computer science,Robustness (computer science),Control engineering,Parametric statistics,Discrete time and continuous time,Robust control,Periodic graph (geometry),Memory controller
Conference
ISSN
Citations 
PageRank 
0743-1546
6
0.53
References 
Authors
4
6
Name
Order
Citations
PageRank
Jean-Francois Tregouet1315.88
Denis Arzelier227926.58
Dimitri Peaucelle330931.56
Yoshio Ebihara416419.52
Christelle Pittet5274.58
Alexandre Falcoz6151.53